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Finding the Fourth Proportional to 415,649.76, 623,422.80 and 166,333.92

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Solution

The fourth proportional to 415,649.76, 623,422.80 and 166,333.92 is: 249,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,649.76 : 623,422.80 = 166,333.92 : x
  2. Step 2: Convert to fraction form
    415,649.76/623,422.80 = 166,333.92/x
  3. Step 3: Cross multiply
    415,649.76x = 623,422.80 × 166,333.92
  4. Step 4: Simplify right side
    415,649.76x = 103,696,358,141.38
  5. Step 5: Solve for x
    x = 103,696,358,141.38/415,649.76
  6. Step 6: Final answer
    x = 249,480.13

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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.