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Finding the Fourth Proportional to 307,775.20, 461,144.40 and 149,663.20

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Solution

The fourth proportional to 307,775.20, 461,144.40 and 149,663.20 is: 224,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,775.20 : 461,144.40 = 149,663.20 : x
  2. Step 2: Convert to fraction form
    307,775.20/461,144.40 = 149,663.20/x
  3. Step 3: Cross multiply
    307,775.20x = 461,144.40 × 149,663.20
  4. Step 4: Simplify right side
    307,775.20x = 69,016,346,566.08
  5. Step 5: Solve for x
    x = 69,016,346,566.08/307,775.20
  6. Step 6: Final answer
    x = 224,242.72

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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.