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Finding the Fourth Proportional to 442,965.60, 664,448.40 and 440,341.20

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Solution

The fourth proportional to 442,965.60, 664,448.40 and 440,341.20 is: 660,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,965.60 : 664,448.40 = 440,341.20 : x
  2. Step 2: Convert to fraction form
    442,965.60/664,448.40 = 440,341.20/x
  3. Step 3: Cross multiply
    442,965.60x = 664,448.40 × 440,341.20
  4. Step 4: Simplify right side
    442,965.60x = 292,584,005,794.08
  5. Step 5: Solve for x
    x = 292,584,005,794.08/442,965.60
  6. Step 6: Final answer
    x = 660,511.80

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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.