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Finding the Fourth Proportional to 385,269.60, 577,126.80 and 218,863.20

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Solution

The fourth proportional to 385,269.60, 577,126.80 and 218,863.20 is: 327,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,269.60 : 577,126.80 = 218,863.20 : x
  2. Step 2: Convert to fraction form
    385,269.60/577,126.80 = 218,863.20/x
  3. Step 3: Cross multiply
    385,269.60x = 577,126.80 × 218,863.20
  4. Step 4: Simplify right side
    385,269.60x = 126,311,818,253.76
  5. Step 5: Solve for x
    x = 126,311,818,253.76/385,269.60
  6. Step 6: Final answer
    x = 327,853.06

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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.