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Finding the Fourth Proportional to 284,360.47, 392,414.29 and 157,033.51

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Solution

The fourth proportional to 284,360.47, 392,414.29 and 157,033.51 is: 216,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,360.47 : 392,414.29 = 157,033.51 : x
  2. Step 2: Convert to fraction form
    284,360.47/392,414.29 = 157,033.51/x
  3. Step 3: Cross multiply
    284,360.47x = 392,414.29 × 157,033.51
  4. Step 4: Simplify right side
    284,360.47x = 61,622,193,332.86
  5. Step 5: Solve for x
    x = 61,622,193,332.86/284,360.47
  6. Step 6: Final answer
    x = 216,704.50

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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.