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Finding the Fourth Proportional to 284,597.87, 392,729.58 and 157,265.25

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Solution

The fourth proportional to 284,597.87, 392,729.58 and 157,265.25 is: 217,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,597.87 : 392,729.58 = 157,265.25 : x
  2. Step 2: Convert to fraction form
    284,597.87/392,729.58 = 157,265.25/x
  3. Step 3: Cross multiply
    284,597.87x = 392,729.58 × 157,265.25
  4. Step 4: Simplify right side
    284,597.87x = 61,762,715,581.10
  5. Step 5: Solve for x
    x = 61,762,715,581.10/284,597.87
  6. Step 6: Final answer
    x = 217,017.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.