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Finding the Fourth Proportional to 403,898.30, 605,847.45 and 137,959.10

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Solution

The fourth proportional to 403,898.30, 605,847.45 and 137,959.10 is: 206,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,898.30 : 605,847.45 = 137,959.10 : x
  2. Step 2: Convert to fraction form
    403,898.30/605,847.45 = 137,959.10/x
  3. Step 3: Cross multiply
    403,898.30x = 605,847.45 × 137,959.10
  4. Step 4: Simplify right side
    403,898.30x = 83,582,168,939.30
  5. Step 5: Solve for x
    x = 83,582,168,939.30/403,898.30
  6. Step 6: Final answer
    x = 206,938.65

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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.