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Finding the Fourth Proportional to 407,271.12, 610,760.28 and 140,959.44

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Solution

The fourth proportional to 407,271.12, 610,760.28 and 140,959.44 is: 211,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,271.12 : 610,760.28 = 140,959.44 : x
  2. Step 2: Convert to fraction form
    407,271.12/610,760.28 = 140,959.44/x
  3. Step 3: Cross multiply
    407,271.12x = 610,760.28 × 140,959.44
  4. Step 4: Simplify right side
    407,271.12x = 86,092,427,043.04
  5. Step 5: Solve for x
    x = 86,092,427,043.04/407,271.12
  6. Step 6: Final answer
    x = 211,388.49

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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.