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Finding the Fourth Proportional to 457,401.40, 686,211.45 and 220,549.30

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Solution

The fourth proportional to 457,401.40, 686,211.45 and 220,549.30 is: 330,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,401.40 : 686,211.45 = 220,549.30 : x
  2. Step 2: Convert to fraction form
    457,401.40/686,211.45 = 220,549.30/x
  3. Step 3: Cross multiply
    457,401.40x = 686,211.45 × 220,549.30
  4. Step 4: Simplify right side
    457,401.40x = 151,343,454,949.49
  5. Step 5: Solve for x
    x = 151,343,454,949.49/457,401.40
  6. Step 6: Final answer
    x = 330,876.68

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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.