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Finding the Fourth Proportional to 386,842.96, 580,443 and 176,545.36

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Solution

The fourth proportional to 386,842.96, 580,443 and 176,545.36 is: 264,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,842.96 : 580,443 = 176,545.36 : x
  2. Step 2: Convert to fraction form
    386,842.96/580,443 = 176,545.36/x
  3. Step 3: Cross multiply
    386,842.96x = 580,443 × 176,545.36
  4. Step 4: Simplify right side
    386,842.96x = 102,474,518,394.48
  5. Step 5: Solve for x
    x = 102,474,518,394.48/386,842.96
  6. Step 6: Final answer
    x = 264,899.53

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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.