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Finding the Fourth Proportional to 305,844.60, 458,839.80 and 147,943.20

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Solution

The fourth proportional to 305,844.60, 458,839.80 and 147,943.20 is: 221,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,844.60 : 458,839.80 = 147,943.20 : x
  2. Step 2: Convert to fraction form
    305,844.60/458,839.80 = 147,943.20/x
  3. Step 3: Cross multiply
    305,844.60x = 458,839.80 × 147,943.20
  4. Step 4: Simplify right side
    305,844.60x = 67,882,228,299.36
  5. Step 5: Solve for x
    x = 67,882,228,299.36/305,844.60
  6. Step 6: Final answer
    x = 221,950.06

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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.