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Finding the Fourth Proportional to 437,597.37, 656,396.10 and 138,101.31

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Solution

The fourth proportional to 437,597.37, 656,396.10 and 138,101.31 is: 207,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,597.37 : 656,396.10 = 138,101.31 : x
  2. Step 2: Convert to fraction form
    437,597.37/656,396.10 = 138,101.31/x
  3. Step 3: Cross multiply
    437,597.37x = 656,396.10 × 138,101.31
  4. Step 4: Simplify right side
    437,597.37x = 90,649,161,288.89
  5. Step 5: Solve for x
    x = 90,649,161,288.89/437,597.37
  6. Step 6: Final answer
    x = 207,151.98

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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.