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Finding the Fourth Proportional to 316,352.87, 474,431.66 and 91,729.86

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Solution

The fourth proportional to 316,352.87, 474,431.66 and 91,729.86 is: 137,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,352.87 : 474,431.66 = 91,729.86 : x
  2. Step 2: Convert to fraction form
    316,352.87/474,431.66 = 91,729.86/x
  3. Step 3: Cross multiply
    316,352.87x = 474,431.66 × 91,729.86
  4. Step 4: Simplify right side
    316,352.87x = 43,519,551,759.81
  5. Step 5: Solve for x
    x = 43,519,551,759.81/316,352.87
  6. Step 6: Final answer
    x = 137,566.48

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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.