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Finding the Fourth Proportional to 521,015.40, 781,523.10 and 205,431.30

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Solution

The fourth proportional to 521,015.40, 781,523.10 and 205,431.30 is: 308,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,015.40 : 781,523.10 = 205,431.30 : x
  2. Step 2: Convert to fraction form
    521,015.40/781,523.10 = 205,431.30/x
  3. Step 3: Cross multiply
    521,015.40x = 781,523.10 × 205,431.30
  4. Step 4: Simplify right side
    521,015.40x = 160,549,306,413.03
  5. Step 5: Solve for x
    x = 160,549,306,413.03/521,015.40
  6. Step 6: Final answer
    x = 308,146.95

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Similar ratio
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1.5x scale

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.