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Finding the Fourth Proportional to 442,959.40, 664,001.70 and 218,135.80

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Solution

The fourth proportional to 442,959.40, 664,001.70 and 218,135.80 is: 326,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,959.40 : 664,001.70 = 218,135.80 : x
  2. Step 2: Convert to fraction form
    442,959.40/664,001.70 = 218,135.80/x
  3. Step 3: Cross multiply
    442,959.40x = 664,001.70 × 218,135.80
  4. Step 4: Simplify right side
    442,959.40x = 144,842,542,030.86
  5. Step 5: Solve for x
    x = 144,842,542,030.86/442,959.40
  6. Step 6: Final answer
    x = 326,988.30

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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.