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Finding the Fourth Proportional to 409,972.32, 615,148.29 and 157,168.26

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Solution

The fourth proportional to 409,972.32, 615,148.29 and 157,168.26 is: 235,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,972.32 : 615,148.29 = 157,168.26 : x
  2. Step 2: Convert to fraction form
    409,972.32/615,148.29 = 157,168.26/x
  3. Step 3: Cross multiply
    409,972.32x = 615,148.29 × 157,168.26
  4. Step 4: Simplify right side
    409,972.32x = 96,681,786,381.28
  5. Step 5: Solve for x
    x = 96,681,786,381.28/409,972.32
  6. Step 6: Final answer
    x = 235,825.16

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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.