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Finding the Fourth Proportional to 659,214, 988,234.56 and 238,396.32

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Solution

The fourth proportional to 659,214, 988,234.56 and 238,396.32 is: 357,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,214 : 988,234.56 = 238,396.32 : x
  2. Step 2: Convert to fraction form
    659,214/988,234.56 = 238,396.32/x
  3. Step 3: Cross multiply
    659,214x = 988,234.56 × 238,396.32
  4. Step 4: Simplify right side
    659,214x = 235,591,482,400.82
  5. Step 5: Solve for x
    x = 235,591,482,400.82/659,214
  6. Step 6: Final answer
    x = 357,382.40

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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.