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Finding the Fourth Proportional to 645,058.40, 966,781.20 and 329,640.80

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Solution

The fourth proportional to 645,058.40, 966,781.20 and 329,640.80 is: 494,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,058.40 : 966,781.20 = 329,640.80 : x
  2. Step 2: Convert to fraction form
    645,058.40/966,781.20 = 329,640.80/x
  3. Step 3: Cross multiply
    645,058.40x = 966,781.20 × 329,640.80
  4. Step 4: Simplify right side
    645,058.40x = 318,690,528,192.96
  5. Step 5: Solve for x
    x = 318,690,528,192.96/645,058.40
  6. Step 6: Final answer
    x = 494,049.11

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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.