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Finding the Fourth Proportional to 442,959.90, 664,002.45 and 218,136.30

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Solution

The fourth proportional to 442,959.90, 664,002.45 and 218,136.30 is: 326,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,959.90 : 664,002.45 = 218,136.30 : x
  2. Step 2: Convert to fraction form
    442,959.90/664,002.45 = 218,136.30/x
  3. Step 3: Cross multiply
    442,959.90x = 664,002.45 × 218,136.30
  4. Step 4: Simplify right side
    442,959.90x = 144,843,037,633.94
  5. Step 5: Solve for x
    x = 144,843,037,633.94/442,959.90
  6. Step 6: Final answer
    x = 326,989.05

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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.