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Finding the Fourth Proportional to 753,413.76, 1,039,711.68 and 413,904

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Solution

The fourth proportional to 753,413.76, 1,039,711.68 and 413,904 is: 571,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,413.76 : 1,039,711.68 = 413,904 : x
  2. Step 2: Convert to fraction form
    753,413.76/1,039,711.68 = 413,904/x
  3. Step 3: Cross multiply
    753,413.76x = 1,039,711.68 × 413,904
  4. Step 4: Simplify right side
    753,413.76x = 430,340,823,198.72
  5. Step 5: Solve for x
    x = 430,340,823,198.72/753,413.76
  6. Step 6: Final answer
    x = 571,187.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.