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Finding the Fourth Proportional to 576,287.20, 864,422.70 and 260,743.60

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Solution

The fourth proportional to 576,287.20, 864,422.70 and 260,743.60 is: 391,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,287.20 : 864,422.70 = 260,743.60 : x
  2. Step 2: Convert to fraction form
    576,287.20/864,422.70 = 260,743.60/x
  3. Step 3: Cross multiply
    576,287.20x = 864,422.70 × 260,743.60
  4. Step 4: Simplify right side
    576,287.20x = 225,392,686,719.72
  5. Step 5: Solve for x
    x = 225,392,686,719.72/576,287.20
  6. Step 6: Final answer
    x = 391,111.74

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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.