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Finding the Fourth Proportional to 280,191.95, 386,764.70 and 165,471.04

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Solution

The fourth proportional to 280,191.95, 386,764.70 and 165,471.04 is: 228,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,191.95 : 386,764.70 = 165,471.04 : x
  2. Step 2: Convert to fraction form
    280,191.95/386,764.70 = 165,471.04/x
  3. Step 3: Cross multiply
    280,191.95x = 386,764.70 × 165,471.04
  4. Step 4: Simplify right side
    280,191.95x = 63,998,357,144.29
  5. Step 5: Solve for x
    x = 63,998,357,144.29/280,191.95
  6. Step 6: Final answer
    x = 228,408.98

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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.