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Finding the Fourth Proportional to 437,539.60, 656,309.40 and 400,141.90

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Solution

The fourth proportional to 437,539.60, 656,309.40 and 400,141.90 is: 600,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,539.60 : 656,309.40 = 400,141.90 : x
  2. Step 2: Convert to fraction form
    437,539.60/656,309.40 = 400,141.90/x
  3. Step 3: Cross multiply
    437,539.60x = 656,309.40 × 400,141.90
  4. Step 4: Simplify right side
    437,539.60x = 262,616,890,303.86
  5. Step 5: Solve for x
    x = 262,616,890,303.86/437,539.60
  6. Step 6: Final answer
    x = 600,212.85

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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.