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Finding the Fourth Proportional to 439,213.76, 657,565.54 and 411,313.31

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Solution

The fourth proportional to 439,213.76, 657,565.54 and 411,313.31 is: 615,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,213.76 : 657,565.54 = 411,313.31 : x
  2. Step 2: Convert to fraction form
    439,213.76/657,565.54 = 411,313.31/x
  3. Step 3: Cross multiply
    439,213.76x = 657,565.54 × 411,313.31
  4. Step 4: Simplify right side
    439,213.76x = 270,465,454,483.23
  5. Step 5: Solve for x
    x = 270,465,454,483.23/439,213.76
  6. Step 6: Final answer
    x = 615,794.59

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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.