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Finding the Fourth Proportional to 399,261.20, 598,891.80 and 257,543.60

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Solution

The fourth proportional to 399,261.20, 598,891.80 and 257,543.60 is: 386,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,261.20 : 598,891.80 = 257,543.60 : x
  2. Step 2: Convert to fraction form
    399,261.20/598,891.80 = 257,543.60/x
  3. Step 3: Cross multiply
    399,261.20x = 598,891.80 × 257,543.60
  4. Step 4: Simplify right side
    399,261.20x = 154,240,750,182.48
  5. Step 5: Solve for x
    x = 154,240,750,182.48/399,261.20
  6. Step 6: Final answer
    x = 386,315.40

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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.