Home / 257,416,883,997.12-386,180,902,774.08-78,356,872,756.80

Finding the Fourth Proportional to 257,416,883,997.12, 386,180,902,774.08 and 78,356,872,756.80

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Solution

The fourth proportional to 257,416,883,997.12, 386,180,902,774.08 and 78,356,872,756.80 is: 117,552,226,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416,883,997.12 : 386,180,902,774.08 = 78,356,872,756.80 : x
  2. Step 2: Convert to fraction form
    257,416,883,997.12/386,180,902,774.08 = 78,356,872,756.80/x
  3. Step 3: Cross multiply
    257,416,883,997.12x = 386,180,902,774.08 × 78,356,872,756.80
  4. Step 4: Simplify right side
    257,416,883,997.12x = 30,259,927,859,774,741,282,816
  5. Step 5: Solve for x
    x = 30,259,927,859,774,741,282,816/257,416,883,997.12
  6. Step 6: Final answer
    x = 117,552,226,528.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.