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Finding the Fourth Proportional to 437,903.20, 656,077.20 and 409,909.60

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Solution

The fourth proportional to 437,903.20, 656,077.20 and 409,909.60 is: 614,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,903.20 : 656,077.20 = 409,909.60 : x
  2. Step 2: Convert to fraction form
    437,903.20/656,077.20 = 409,909.60/x
  3. Step 3: Cross multiply
    437,903.20x = 656,077.20 × 409,909.60
  4. Step 4: Simplify right side
    437,903.20x = 268,932,342,621.12
  5. Step 5: Solve for x
    x = 268,932,342,621.12/437,903.20
  6. Step 6: Final answer
    x = 614,136.51

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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.