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Finding the Fourth Proportional to 443,572.80, 665,456.40 and 144,002.40

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Solution

The fourth proportional to 443,572.80, 665,456.40 and 144,002.40 is: 216,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,572.80 : 665,456.40 = 144,002.40 : x
  2. Step 2: Convert to fraction form
    443,572.80/665,456.40 = 144,002.40/x
  3. Step 3: Cross multiply
    443,572.80x = 665,456.40 × 144,002.40
  4. Step 4: Simplify right side
    443,572.80x = 95,827,318,695.36
  5. Step 5: Solve for x
    x = 95,827,318,695.36/443,572.80
  6. Step 6: Final answer
    x = 216,035.16

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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.