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Finding the Fourth Proportional to 341,323.47, 512,649.61 and 278,190.25

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Solution

The fourth proportional to 341,323.47, 512,649.61 and 278,190.25 is: 417,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,323.47 : 512,649.61 = 278,190.25 : x
  2. Step 2: Convert to fraction form
    341,323.47/512,649.61 = 278,190.25/x
  3. Step 3: Cross multiply
    341,323.47x = 512,649.61 × 278,190.25
  4. Step 4: Simplify right side
    341,323.47x = 142,614,121,191.20
  5. Step 5: Solve for x
    x = 142,614,121,191.20/341,323.47
  6. Step 6: Final answer
    x = 417,826.88

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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.