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Finding the Fourth Proportional to 418,414.95, 577,690.69 and 321,446.11

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Solution

The fourth proportional to 418,414.95, 577,690.69 and 321,446.11 is: 443,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,414.95 : 577,690.69 = 321,446.11 : x
  2. Step 2: Convert to fraction form
    418,414.95/577,690.69 = 321,446.11/x
  3. Step 3: Cross multiply
    418,414.95x = 577,690.69 × 321,446.11
  4. Step 4: Simplify right side
    418,414.95x = 185,696,425,083.72
  5. Step 5: Solve for x
    x = 185,696,425,083.72/418,414.95
  6. Step 6: Final answer
    x = 443,809.25

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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.