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Finding the Fourth Proportional to 656,158.20, 984,237.30 and 406,980.60

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Solution

The fourth proportional to 656,158.20, 984,237.30 and 406,980.60 is: 610,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,158.20 : 984,237.30 = 406,980.60 : x
  2. Step 2: Convert to fraction form
    656,158.20/984,237.30 = 406,980.60/x
  3. Step 3: Cross multiply
    656,158.20x = 984,237.30 × 406,980.60
  4. Step 4: Simplify right side
    656,158.20x = 400,565,486,896.38
  5. Step 5: Solve for x
    x = 400,565,486,896.38/656,158.20
  6. Step 6: Final answer
    x = 610,470.90

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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.