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Finding the Fourth Proportional to 438,021.60, 658,414.80 and 413,138.40

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Solution

The fourth proportional to 438,021.60, 658,414.80 and 413,138.40 is: 621,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,021.60 : 658,414.80 = 413,138.40 : x
  2. Step 2: Convert to fraction form
    438,021.60/658,414.80 = 413,138.40/x
  3. Step 3: Cross multiply
    438,021.60x = 658,414.80 × 413,138.40
  4. Step 4: Simplify right side
    438,021.60x = 272,016,437,008.32
  5. Step 5: Solve for x
    x = 272,016,437,008.32/438,021.60
  6. Step 6: Final answer
    x = 621,011.47

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1.5x scale

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.