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Finding the Fourth Proportional to 287,590.19, 431,386.41 and 87,909.80

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Solution

The fourth proportional to 287,590.19, 431,386.41 and 87,909.80 is: 131,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,590.19 : 431,386.41 = 87,909.80 : x
  2. Step 2: Convert to fraction form
    287,590.19/431,386.41 = 87,909.80/x
  3. Step 3: Cross multiply
    287,590.19x = 431,386.41 × 87,909.80
  4. Step 4: Simplify right side
    287,590.19x = 37,923,092,586.27
  5. Step 5: Solve for x
    x = 37,923,092,586.27/287,590.19
  6. Step 6: Final answer
    x = 131,865.04

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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.