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Finding the Fourth Proportional to 415,422.90, 623,134.35 and 257,829.30

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Solution

The fourth proportional to 415,422.90, 623,134.35 and 257,829.30 is: 386,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.90 : 623,134.35 = 257,829.30 : x
  2. Step 2: Convert to fraction form
    415,422.90/623,134.35 = 257,829.30/x
  3. Step 3: Cross multiply
    415,422.90x = 623,134.35 × 257,829.30
  4. Step 4: Simplify right side
    415,422.90x = 160,662,293,266.46
  5. Step 5: Solve for x
    x = 160,662,293,266.46/415,422.90
  6. Step 6: Final answer
    x = 386,743.95

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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.