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Finding the Fourth Proportional to 663,578, 995,370.65 and 164,942

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Solution

The fourth proportional to 663,578, 995,370.65 and 164,942 is: 247,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,578 : 995,370.65 = 164,942 : x
  2. Step 2: Convert to fraction form
    663,578/995,370.65 = 164,942/x
  3. Step 3: Cross multiply
    663,578x = 995,370.65 × 164,942
  4. Step 4: Simplify right side
    663,578x = 164,178,425,752.30
  5. Step 5: Solve for x
    x = 164,178,425,752.30/663,578
  6. Step 6: Final answer
    x = 247,413.91

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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.