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Finding the Fourth Proportional to 386,978.24, 580,470.96 and 117,108.32

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Solution

The fourth proportional to 386,978.24, 580,470.96 and 117,108.32 is: 175,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,978.24 : 580,470.96 = 117,108.32 : x
  2. Step 2: Convert to fraction form
    386,978.24/580,470.96 = 117,108.32/x
  3. Step 3: Cross multiply
    386,978.24x = 580,470.96 × 117,108.32
  4. Step 4: Simplify right side
    386,978.24x = 67,977,978,934.39
  5. Step 5: Solve for x
    x = 67,977,978,934.39/386,978.24
  6. Step 6: Final answer
    x = 175,663.57

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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.