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Finding the Fourth Proportional to 305,720.30, 458,568.12 and 155,957.30

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Solution

The fourth proportional to 305,720.30, 458,568.12 and 155,957.30 is: 233,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,720.30 : 458,568.12 = 155,957.30 : x
  2. Step 2: Convert to fraction form
    305,720.30/458,568.12 = 155,957.30/x
  3. Step 3: Cross multiply
    305,720.30x = 458,568.12 × 155,957.30
  4. Step 4: Simplify right side
    305,720.30x = 71,517,045,861.28
  5. Step 5: Solve for x
    x = 71,517,045,861.28/305,720.30
  6. Step 6: Final answer
    x = 233,929.66

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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.