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Finding the Fourth Proportional to 651,398.40, 976,951.80 and 428,324.40

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Solution

The fourth proportional to 651,398.40, 976,951.80 and 428,324.40 is: 642,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,398.40 : 976,951.80 = 428,324.40 : x
  2. Step 2: Convert to fraction form
    651,398.40/976,951.80 = 428,324.40/x
  3. Step 3: Cross multiply
    651,398.40x = 976,951.80 × 428,324.40
  4. Step 4: Simplify right side
    651,398.40x = 418,452,293,563.92
  5. Step 5: Solve for x
    x = 418,452,293,563.92/651,398.40
  6. Step 6: Final answer
    x = 642,390.73

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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.