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Finding the Fourth Proportional to 486,020.70, 729,359.10 and 219,644.10

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Solution

The fourth proportional to 486,020.70, 729,359.10 and 219,644.10 is: 329,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,020.70 : 729,359.10 = 219,644.10 : x
  2. Step 2: Convert to fraction form
    486,020.70/729,359.10 = 219,644.10/x
  3. Step 3: Cross multiply
    486,020.70x = 729,359.10 × 219,644.10
  4. Step 4: Simplify right side
    486,020.70x = 160,199,423,096.31
  5. Step 5: Solve for x
    x = 160,199,423,096.31/486,020.70
  6. Step 6: Final answer
    x = 329,614.40

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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.