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Finding the Fourth Proportional to 284,539.90, 392,672.98 and 157,223.74

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Solution

The fourth proportional to 284,539.90, 392,672.98 and 157,223.74 is: 216,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,539.90 : 392,672.98 = 157,223.74 : x
  2. Step 2: Convert to fraction form
    284,539.90/392,672.98 = 157,223.74/x
  3. Step 3: Cross multiply
    284,539.90x = 392,672.98 × 157,223.74
  4. Step 4: Simplify right side
    284,539.90x = 61,737,514,512.55
  5. Step 5: Solve for x
    x = 61,737,514,512.55/284,539.90
  6. Step 6: Final answer
    x = 216,973.14

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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.