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Finding the Fourth Proportional to 331,590.50, 457,594.80 and 180,687.50

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Solution

The fourth proportional to 331,590.50, 457,594.80 and 180,687.50 is: 249,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,590.50 : 457,594.80 = 180,687.50 : x
  2. Step 2: Convert to fraction form
    331,590.50/457,594.80 = 180,687.50/x
  3. Step 3: Cross multiply
    331,590.50x = 457,594.80 × 180,687.50
  4. Step 4: Simplify right side
    331,590.50x = 82,681,660,425
  5. Step 5: Solve for x
    x = 82,681,660,425/331,590.50
  6. Step 6: Final answer
    x = 249,348.70

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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.