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Finding the Fourth Proportional to 442,907.20, 664,231.20 and 158,564.80

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Solution

The fourth proportional to 442,907.20, 664,231.20 and 158,564.80 is: 237,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,907.20 : 664,231.20 = 158,564.80 : x
  2. Step 2: Convert to fraction form
    442,907.20/664,231.20 = 158,564.80/x
  3. Step 3: Cross multiply
    442,907.20x = 664,231.20 × 158,564.80
  4. Step 4: Simplify right side
    442,907.20x = 105,323,687,381.76
  5. Step 5: Solve for x
    x = 105,323,687,381.76/442,907.20
  6. Step 6: Final answer
    x = 237,800.80

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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.