Home / 1,024,172,118.78-1,536,128,594.82-324,670,997.16

Finding the Fourth Proportional to 1,024,172,118.78, 1,536,128,594.82 and 324,670,997.16

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Solution

The fourth proportional to 1,024,172,118.78, 1,536,128,594.82 and 324,670,997.16 is: 486,965,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,172,118.78 : 1,536,128,594.82 = 324,670,997.16 : x
  2. Step 2: Convert to fraction form
    1,024,172,118.78/1,536,128,594.82 = 324,670,997.16/x
  3. Step 3: Cross multiply
    1,024,172,118.78x = 1,536,128,594.82 × 324,670,997.16
  4. Step 4: Simplify right side
    1,024,172,118.78x = 498,736,402,646,199,040
  5. Step 5: Solve for x
    x = 498,736,402,646,199,040/1,024,172,118.78
  6. Step 6: Final answer
    x = 486,965,416.75

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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.