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Finding the Fourth Proportional to 512,871.32, 769,413.90 and 157,867.76

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Solution

The fourth proportional to 512,871.32, 769,413.90 and 157,867.76 is: 236,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,871.32 : 769,413.90 = 157,867.76 : x
  2. Step 2: Convert to fraction form
    512,871.32/769,413.90 = 157,867.76/x
  3. Step 3: Cross multiply
    512,871.32x = 769,413.90 × 157,867.76
  4. Step 4: Simplify right side
    512,871.32x = 121,465,648,905.86
  5. Step 5: Solve for x
    x = 121,465,648,905.86/512,871.32
  6. Step 6: Final answer
    x = 236,834.55

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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.