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Finding the Fourth Proportional to 398,314.58, 597,234.78 and 158,298.62

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Solution

The fourth proportional to 398,314.58, 597,234.78 and 158,298.62 is: 237,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,314.58 : 597,234.78 = 158,298.62 : x
  2. Step 2: Convert to fraction form
    398,314.58/597,234.78 = 158,298.62/x
  3. Step 3: Cross multiply
    398,314.58x = 597,234.78 × 158,298.62
  4. Step 4: Simplify right side
    398,314.58x = 94,541,441,490.00
  5. Step 5: Solve for x
    x = 94,541,441,490.00/398,314.58
  6. Step 6: Final answer
    x = 237,353.71

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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.