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Finding the Fourth Proportional to 472,931.20, 709,403.04 and 157,388.16

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Solution

The fourth proportional to 472,931.20, 709,403.04 and 157,388.16 is: 236,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,931.20 : 709,403.04 = 157,388.16 : x
  2. Step 2: Convert to fraction form
    472,931.20/709,403.04 = 157,388.16/x
  3. Step 3: Cross multiply
    472,931.20x = 709,403.04 × 157,388.16
  4. Step 4: Simplify right side
    472,931.20x = 111,651,639,164.01
  5. Step 5: Solve for x
    x = 111,651,639,164.01/472,931.20
  6. Step 6: Final answer
    x = 236,084.32

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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.