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Finding the Fourth Proportional to 313,972.32, 470,978.44 and 103,612.08

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Solution

The fourth proportional to 313,972.32, 470,978.44 and 103,612.08 is: 155,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,972.32 : 470,978.44 = 103,612.08 : x
  2. Step 2: Convert to fraction form
    313,972.32/470,978.44 = 103,612.08/x
  3. Step 3: Cross multiply
    313,972.32x = 470,978.44 × 103,612.08
  4. Step 4: Simplify right side
    313,972.32x = 48,799,055,803.56
  5. Step 5: Solve for x
    x = 48,799,055,803.56/313,972.32
  6. Step 6: Final answer
    x = 155,424.71

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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.