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Finding the Fourth Proportional to 305,790.80, 458,686.20 and 282,171.20

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Solution

The fourth proportional to 305,790.80, 458,686.20 and 282,171.20 is: 423,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,790.80 : 458,686.20 = 282,171.20 : x
  2. Step 2: Convert to fraction form
    305,790.80/458,686.20 = 282,171.20/x
  3. Step 3: Cross multiply
    305,790.80x = 458,686.20 × 282,171.20
  4. Step 4: Simplify right side
    305,790.80x = 129,428,035,477.44
  5. Step 5: Solve for x
    x = 129,428,035,477.44/305,790.80
  6. Step 6: Final answer
    x = 423,256.80

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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.