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Finding the Fourth Proportional to 437,629.96, 656,444.94 and 138,133.90

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Solution

The fourth proportional to 437,629.96, 656,444.94 and 138,133.90 is: 207,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,629.96 : 656,444.94 = 138,133.90 : x
  2. Step 2: Convert to fraction form
    437,629.96/656,444.94 = 138,133.90/x
  3. Step 3: Cross multiply
    437,629.96x = 656,444.94 × 138,133.90
  4. Step 4: Simplify right side
    437,629.96x = 90,677,299,697.47
  5. Step 5: Solve for x
    x = 90,677,299,697.47/437,629.96
  6. Step 6: Final answer
    x = 207,200.85

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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.