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Finding the Fourth Proportional to 435,695.40, 653,543.10 and 155,221.80

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Solution

The fourth proportional to 435,695.40, 653,543.10 and 155,221.80 is: 232,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,695.40 : 653,543.10 = 155,221.80 : x
  2. Step 2: Convert to fraction form
    435,695.40/653,543.10 = 155,221.80/x
  3. Step 3: Cross multiply
    435,695.40x = 653,543.10 × 155,221.80
  4. Step 4: Simplify right side
    435,695.40x = 101,444,136,359.58
  5. Step 5: Solve for x
    x = 101,444,136,359.58/435,695.40
  6. Step 6: Final answer
    x = 232,832.70

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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.