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Finding the Fourth Proportional to 284,151.88, 392,128.78 and 156,826.58

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Solution

The fourth proportional to 284,151.88, 392,128.78 and 156,826.58 is: 216,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,151.88 : 392,128.78 = 156,826.58 : x
  2. Step 2: Convert to fraction form
    284,151.88/392,128.78 = 156,826.58/x
  3. Step 3: Cross multiply
    284,151.88x = 392,128.78 × 156,826.58
  4. Step 4: Simplify right side
    284,151.88x = 61,496,215,486.97
  5. Step 5: Solve for x
    x = 61,496,215,486.97/284,151.88
  6. Step 6: Final answer
    x = 216,420.23

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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.