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Finding the Fourth Proportional to 437,642.40, 656,463.76 and 138,146.32

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Solution

The fourth proportional to 437,642.40, 656,463.76 and 138,146.32 is: 207,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,642.40 : 656,463.76 = 138,146.32 : x
  2. Step 2: Convert to fraction form
    437,642.40/656,463.76 = 138,146.32/x
  3. Step 3: Cross multiply
    437,642.40x = 656,463.76 × 138,146.32
  4. Step 4: Simplify right side
    437,642.40x = 90,688,052,657.36
  5. Step 5: Solve for x
    x = 90,688,052,657.36/437,642.40
  6. Step 6: Final answer
    x = 207,219.53

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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.