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Finding the Fourth Proportional to 415,645.76, 623,416.80 and 166,329.92

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Solution

The fourth proportional to 415,645.76, 623,416.80 and 166,329.92 is: 249,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,645.76 : 623,416.80 = 166,329.92 : x
  2. Step 2: Convert to fraction form
    415,645.76/623,416.80 = 166,329.92/x
  3. Step 3: Cross multiply
    415,645.76x = 623,416.80 × 166,329.92
  4. Step 4: Simplify right side
    415,645.76x = 103,692,866,470.66
  5. Step 5: Solve for x
    x = 103,692,866,470.66/415,645.76
  6. Step 6: Final answer
    x = 249,474.14

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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.