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Finding the Fourth Proportional to 284,589.12, 392,733.12 and 157,264.71

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Solution

The fourth proportional to 284,589.12, 392,733.12 and 157,264.71 is: 217,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,589.12 : 392,733.12 = 157,264.71 : x
  2. Step 2: Convert to fraction form
    284,589.12/392,733.12 = 157,264.71/x
  3. Step 3: Cross multiply
    284,589.12x = 392,733.12 × 157,264.71
  4. Step 4: Simplify right side
    284,589.12x = 61,763,060,224.20
  5. Step 5: Solve for x
    x = 61,763,060,224.20/284,589.12
  6. Step 6: Final answer
    x = 217,025.37

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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.