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Finding the Fourth Proportional to 442,470.40, 664,051.20 and 205,842.40

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Solution

The fourth proportional to 442,470.40, 664,051.20 and 205,842.40 is: 308,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,470.40 : 664,051.20 = 205,842.40 : x
  2. Step 2: Convert to fraction form
    442,470.40/664,051.20 = 205,842.40/x
  3. Step 3: Cross multiply
    442,470.40x = 664,051.20 × 205,842.40
  4. Step 4: Simplify right side
    442,470.40x = 136,689,892,730.88
  5. Step 5: Solve for x
    x = 136,689,892,730.88/442,470.40
  6. Step 6: Final answer
    x = 308,924.38

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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.