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Finding the Fourth Proportional to 208,390.30, 287,472.87 and 131,780.30

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Solution

The fourth proportional to 208,390.30, 287,472.87 and 131,780.30 is: 181,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,390.30 : 287,472.87 = 131,780.30 : x
  2. Step 2: Convert to fraction form
    208,390.30/287,472.87 = 131,780.30/x
  3. Step 3: Cross multiply
    208,390.30x = 287,472.87 × 131,780.30
  4. Step 4: Simplify right side
    208,390.30x = 37,883,259,613.10
  5. Step 5: Solve for x
    x = 37,883,259,613.10/208,390.30
  6. Step 6: Final answer
    x = 181,789.94

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1.5x scale

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.