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Finding the Fourth Proportional to 399,562.68, 551,413.32 and 229,797

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Solution

The fourth proportional to 399,562.68, 551,413.32 and 229,797 is: 317,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,562.68 : 551,413.32 = 229,797 : x
  2. Step 2: Convert to fraction form
    399,562.68/551,413.32 = 229,797/x
  3. Step 3: Cross multiply
    399,562.68x = 551,413.32 × 229,797
  4. Step 4: Simplify right side
    399,562.68x = 126,713,126,696.04
  5. Step 5: Solve for x
    x = 126,713,126,696.04/399,562.68
  6. Step 6: Final answer
    x = 317,129.53

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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.