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Finding the Fourth Proportional to 417,091.38, 625,643.20 and 288,881.24

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Solution

The fourth proportional to 417,091.38, 625,643.20 and 288,881.24 is: 433,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,091.38 : 625,643.20 = 288,881.24 : x
  2. Step 2: Convert to fraction form
    417,091.38/625,643.20 = 288,881.24/x
  3. Step 3: Cross multiply
    417,091.38x = 625,643.20 × 288,881.24
  4. Step 4: Simplify right side
    417,091.38x = 180,736,583,413.57
  5. Step 5: Solve for x
    x = 180,736,583,413.57/417,091.38
  6. Step 6: Final answer
    x = 433,326.11

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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.