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Finding the Fourth Proportional to 542,685.40, 748,951.86 and 301,045.82

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Solution

The fourth proportional to 542,685.40, 748,951.86 and 301,045.82 is: 415,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,685.40 : 748,951.86 = 301,045.82 : x
  2. Step 2: Convert to fraction form
    542,685.40/748,951.86 = 301,045.82/x
  3. Step 3: Cross multiply
    542,685.40x = 748,951.86 × 301,045.82
  4. Step 4: Simplify right side
    542,685.40x = 225,468,826,834.23
  5. Step 5: Solve for x
    x = 225,468,826,834.23/542,685.40
  6. Step 6: Final answer
    x = 415,468.75

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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.