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Finding the Fourth Proportional to 509,414.04, 703,007.19 and 279,967.15

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Solution

The fourth proportional to 509,414.04, 703,007.19 and 279,967.15 is: 386,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,414.04 : 703,007.19 = 279,967.15 : x
  2. Step 2: Convert to fraction form
    509,414.04/703,007.19 = 279,967.15/x
  3. Step 3: Cross multiply
    509,414.04x = 703,007.19 × 279,967.15
  4. Step 4: Simplify right side
    509,414.04x = 196,818,919,413.81
  5. Step 5: Solve for x
    x = 196,818,919,413.81/509,414.04
  6. Step 6: Final answer
    x = 386,363.36

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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.