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Finding the Fourth Proportional to 399,680.96, 599,948.24 and 172,089.32

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Solution

The fourth proportional to 399,680.96, 599,948.24 and 172,089.32 is: 258,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,680.96 : 599,948.24 = 172,089.32 : x
  2. Step 2: Convert to fraction form
    399,680.96/599,948.24 = 172,089.32/x
  3. Step 3: Cross multiply
    399,680.96x = 599,948.24 × 172,089.32
  4. Step 4: Simplify right side
    399,680.96x = 103,244,680,796.61
  5. Step 5: Solve for x
    x = 103,244,680,796.61/399,680.96
  6. Step 6: Final answer
    x = 258,317.74

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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.