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Finding the Fourth Proportional to 305,332.56, 458,280.72 and 220,032

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Solution

The fourth proportional to 305,332.56, 458,280.72 and 220,032 is: 330,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,332.56 : 458,280.72 = 220,032 : x
  2. Step 2: Convert to fraction form
    305,332.56/458,280.72 = 220,032/x
  3. Step 3: Cross multiply
    305,332.56x = 458,280.72 × 220,032
  4. Step 4: Simplify right side
    305,332.56x = 100,836,423,383.04
  5. Step 5: Solve for x
    x = 100,836,423,383.04/305,332.56
  6. Step 6: Final answer
    x = 330,251.13

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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.