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Finding the Fourth Proportional to 656,468.20, 984,702.30 and 282,491.20

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Solution

The fourth proportional to 656,468.20, 984,702.30 and 282,491.20 is: 423,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,468.20 : 984,702.30 = 282,491.20 : x
  2. Step 2: Convert to fraction form
    656,468.20/984,702.30 = 282,491.20/x
  3. Step 3: Cross multiply
    656,468.20x = 984,702.30 × 282,491.20
  4. Step 4: Simplify right side
    656,468.20x = 278,169,734,369.76
  5. Step 5: Solve for x
    x = 278,169,734,369.76/656,468.20
  6. Step 6: Final answer
    x = 423,736.80

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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.