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Finding the Fourth Proportional to 438,045.30, 656,703.45 and 185,519.70

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Solution

The fourth proportional to 438,045.30, 656,703.45 and 185,519.70 is: 278,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,045.30 : 656,703.45 = 185,519.70 : x
  2. Step 2: Convert to fraction form
    438,045.30/656,703.45 = 185,519.70/x
  3. Step 3: Cross multiply
    438,045.30x = 656,703.45 × 185,519.70
  4. Step 4: Simplify right side
    438,045.30x = 121,831,427,032.97
  5. Step 5: Solve for x
    x = 121,831,427,032.97/438,045.30
  6. Step 6: Final answer
    x = 278,125.18

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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.