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Finding the Fourth Proportional to 385,439.80, 577,814.10 and 343,449.40

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Solution

The fourth proportional to 385,439.80, 577,814.10 and 343,449.40 is: 514,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,439.80 : 577,814.10 = 343,449.40 : x
  2. Step 2: Convert to fraction form
    385,439.80/577,814.10 = 343,449.40/x
  3. Step 3: Cross multiply
    385,439.80x = 577,814.10 × 343,449.40
  4. Step 4: Simplify right side
    385,439.80x = 198,449,905,956.54
  5. Step 5: Solve for x
    x = 198,449,905,956.54/385,439.80
  6. Step 6: Final answer
    x = 514,866.15

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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.