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Finding the Fourth Proportional to 403,587.20, 605,380.80 and 190,305.48

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Solution

The fourth proportional to 403,587.20, 605,380.80 and 190,305.48 is: 285,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,587.20 : 605,380.80 = 190,305.48 : x
  2. Step 2: Convert to fraction form
    403,587.20/605,380.80 = 190,305.48/x
  3. Step 3: Cross multiply
    403,587.20x = 605,380.80 × 190,305.48
  4. Step 4: Simplify right side
    403,587.20x = 115,207,283,726.78
  5. Step 5: Solve for x
    x = 115,207,283,726.78/403,587.20
  6. Step 6: Final answer
    x = 285,458.22

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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.