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Finding the Fourth Proportional to 284,551.92, 392,681.52 and 157,226.40

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Solution

The fourth proportional to 284,551.92, 392,681.52 and 157,226.40 is: 216,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,551.92 : 392,681.52 = 157,226.40 : x
  2. Step 2: Convert to fraction form
    284,551.92/392,681.52 = 157,226.40/x
  3. Step 3: Cross multiply
    284,551.92x = 392,681.52 × 157,226.40
  4. Step 4: Simplify right side
    284,551.92x = 61,739,901,736.13
  5. Step 5: Solve for x
    x = 61,739,901,736.13/284,551.92
  6. Step 6: Final answer
    x = 216,972.36

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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.