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Finding the Fourth Proportional to 475,635.68, 712,502.92 and 285,992.20

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Solution

The fourth proportional to 475,635.68, 712,502.92 and 285,992.20 is: 428,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,635.68 : 712,502.92 = 285,992.20 : x
  2. Step 2: Convert to fraction form
    475,635.68/712,502.92 = 285,992.20/x
  3. Step 3: Cross multiply
    475,635.68x = 712,502.92 × 285,992.20
  4. Step 4: Simplify right side
    475,635.68x = 203,770,277,597.22
  5. Step 5: Solve for x
    x = 203,770,277,597.22/475,635.68
  6. Step 6: Final answer
    x = 428,416.72

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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.