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Finding the Fourth Proportional to 284,732.64, 392,949.36 and 157,409.28

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Solution

The fourth proportional to 284,732.64, 392,949.36 and 157,409.28 is: 217,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,732.64 : 392,949.36 = 157,409.28 : x
  2. Step 2: Convert to fraction form
    284,732.64/392,949.36 = 157,409.28/x
  3. Step 3: Cross multiply
    284,732.64x = 392,949.36 × 157,409.28
  4. Step 4: Simplify right side
    284,732.64x = 61,853,875,834.06
  5. Step 5: Solve for x
    x = 61,853,875,834.06/284,732.64
  6. Step 6: Final answer
    x = 217,234.93

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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.