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Finding the Fourth Proportional to 443,439.04, 664,694.16 and 206,586.40

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Solution

The fourth proportional to 443,439.04, 664,694.16 and 206,586.40 is: 309,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,439.04 : 664,694.16 = 206,586.40 : x
  2. Step 2: Convert to fraction form
    443,439.04/664,694.16 = 206,586.40/x
  3. Step 3: Cross multiply
    443,439.04x = 664,694.16 × 206,586.40
  4. Step 4: Simplify right side
    443,439.04x = 137,316,773,615.42
  5. Step 5: Solve for x
    x = 137,316,773,615.42/443,439.04
  6. Step 6: Final answer
    x = 309,663.25

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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.