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Finding the Fourth Proportional to 260,543.40, 390,231.90 and 254,711.40

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Solution

The fourth proportional to 260,543.40, 390,231.90 and 254,711.40 is: 381,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,543.40 : 390,231.90 = 254,711.40 : x
  2. Step 2: Convert to fraction form
    260,543.40/390,231.90 = 254,711.40/x
  3. Step 3: Cross multiply
    260,543.40x = 390,231.90 × 254,711.40
  4. Step 4: Simplify right side
    260,543.40x = 99,396,513,573.66
  5. Step 5: Solve for x
    x = 99,396,513,573.66/260,543.40
  6. Step 6: Final answer
    x = 381,496.95

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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.