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Finding the Fourth Proportional to 306,432.80, 422,528.56 and 215,759.76

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Solution

The fourth proportional to 306,432.80, 422,528.56 and 215,759.76 is: 297,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,432.80 : 422,528.56 = 215,759.76 : x
  2. Step 2: Convert to fraction form
    306,432.80/422,528.56 = 215,759.76/x
  3. Step 3: Cross multiply
    306,432.80x = 422,528.56 × 215,759.76
  4. Step 4: Simplify right side
    306,432.80x = 91,164,660,698.75
  5. Step 5: Solve for x
    x = 91,164,660,698.75/306,432.80
  6. Step 6: Final answer
    x = 297,502.95

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1.5x scale

Why These Related Problems?

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