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Finding the Fourth Proportional to 442,989.20, 664,483.80 and 310,019.60

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Solution

The fourth proportional to 442,989.20, 664,483.80 and 310,019.60 is: 465,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,989.20 : 664,483.80 = 310,019.60 : x
  2. Step 2: Convert to fraction form
    442,989.20/664,483.80 = 310,019.60/x
  3. Step 3: Cross multiply
    442,989.20x = 664,483.80 × 310,019.60
  4. Step 4: Simplify right side
    442,989.20x = 206,003,001,882.48
  5. Step 5: Solve for x
    x = 206,003,001,882.48/442,989.20
  6. Step 6: Final answer
    x = 465,029.40

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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.