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Finding the Fourth Proportional to 521,880.99, 721,645.23 and 414,264.18

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Solution

The fourth proportional to 521,880.99, 721,645.23 and 414,264.18 is: 572,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,880.99 : 721,645.23 = 414,264.18 : x
  2. Step 2: Convert to fraction form
    521,880.99/721,645.23 = 414,264.18/x
  3. Step 3: Cross multiply
    521,880.99x = 721,645.23 × 414,264.18
  4. Step 4: Simplify right side
    521,880.99x = 298,951,769,456.86
  5. Step 5: Solve for x
    x = 298,951,769,456.86/521,880.99
  6. Step 6: Final answer
    x = 572,835.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.