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Finding the Fourth Proportional to 415,820.31, 623,797.77 and 162,963.69

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Solution

The fourth proportional to 415,820.31, 623,797.77 and 162,963.69 is: 244,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820.31 : 623,797.77 = 162,963.69 : x
  2. Step 2: Convert to fraction form
    415,820.31/623,797.77 = 162,963.69/x
  3. Step 3: Cross multiply
    415,820.31x = 623,797.77 × 162,963.69
  4. Step 4: Simplify right side
    415,820.31x = 101,656,386,412.97
  5. Step 5: Solve for x
    x = 101,656,386,412.97/415,820.31
  6. Step 6: Final answer
    x = 244,471.91

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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.