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Finding the Fourth Proportional to 284,589.92, 392,733.96 and 157,264.40

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Solution

The fourth proportional to 284,589.92, 392,733.96 and 157,264.40 is: 217,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,589.92 : 392,733.96 = 157,264.40 : x
  2. Step 2: Convert to fraction form
    284,589.92/392,733.96 = 157,264.40/x
  3. Step 3: Cross multiply
    284,589.92x = 392,733.96 × 157,264.40
  4. Step 4: Simplify right side
    284,589.92x = 61,763,070,579.02
  5. Step 5: Solve for x
    x = 61,763,070,579.02/284,589.92
  6. Step 6: Final answer
    x = 217,024.80

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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.