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Finding the Fourth Proportional to 442,980.30, 664,470.45 and 206,346.90

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Solution

The fourth proportional to 442,980.30, 664,470.45 and 206,346.90 is: 309,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,980.30 : 664,470.45 = 206,346.90 : x
  2. Step 2: Convert to fraction form
    442,980.30/664,470.45 = 206,346.90/x
  3. Step 3: Cross multiply
    442,980.30x = 664,470.45 × 206,346.90
  4. Step 4: Simplify right side
    442,980.30x = 137,111,417,499.11
  5. Step 5: Solve for x
    x = 137,111,417,499.11/442,980.30
  6. Step 6: Final answer
    x = 309,520.35

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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.