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Finding the Fourth Proportional to 437,772.80, 656,270.40 and 288,084.80

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Solution

The fourth proportional to 437,772.80, 656,270.40 and 288,084.80 is: 431,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,772.80 : 656,270.40 = 288,084.80 : x
  2. Step 2: Convert to fraction form
    437,772.80/656,270.40 = 288,084.80/x
  3. Step 3: Cross multiply
    437,772.80x = 656,270.40 × 288,084.80
  4. Step 4: Simplify right side
    437,772.80x = 189,061,526,929.92
  5. Step 5: Solve for x
    x = 189,061,526,929.92/437,772.80
  6. Step 6: Final answer
    x = 431,871.34

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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.