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Finding the Fourth Proportional to 438,532.80, 657,396 and 157,981.44

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Solution

The fourth proportional to 438,532.80, 657,396 and 157,981.44 is: 236,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,532.80 : 657,396 = 157,981.44 : x
  2. Step 2: Convert to fraction form
    438,532.80/657,396 = 157,981.44/x
  3. Step 3: Cross multiply
    438,532.80x = 657,396 × 157,981.44
  4. Step 4: Simplify right side
    438,532.80x = 103,856,366,730.24
  5. Step 5: Solve for x
    x = 103,856,366,730.24/438,532.80
  6. Step 6: Final answer
    x = 236,826.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.