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Finding the Fourth Proportional to 399,108, 598,780.80 and 230,587.20

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Solution

The fourth proportional to 399,108, 598,780.80 and 230,587.20 is: 345,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,108 : 598,780.80 = 230,587.20 : x
  2. Step 2: Convert to fraction form
    399,108/598,780.80 = 230,587.20/x
  3. Step 3: Cross multiply
    399,108x = 598,780.80 × 230,587.20
  4. Step 4: Simplify right side
    399,108x = 138,071,188,085.76
  5. Step 5: Solve for x
    x = 138,071,188,085.76/399,108
  6. Step 6: Final answer
    x = 345,949.44

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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.