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Finding the Fourth Proportional to 316,978.92, 437,442.12 and 173,738.93

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Solution

The fourth proportional to 316,978.92, 437,442.12 and 173,738.93 is: 239,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,978.92 : 437,442.12 = 173,738.93 : x
  2. Step 2: Convert to fraction form
    316,978.92/437,442.12 = 173,738.93/x
  3. Step 3: Cross multiply
    316,978.92x = 437,442.12 × 173,738.93
  4. Step 4: Simplify right side
    316,978.92x = 76,000,723,678.52
  5. Step 5: Solve for x
    x = 76,000,723,678.52/316,978.92
  6. Step 6: Final answer
    x = 239,765.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.