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Finding the Fourth Proportional to 282,504.56, 389,761.12 and 159,980.16

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Solution

The fourth proportional to 282,504.56, 389,761.12 and 159,980.16 is: 220,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,504.56 : 389,761.12 = 159,980.16 : x
  2. Step 2: Convert to fraction form
    282,504.56/389,761.12 = 159,980.16/x
  3. Step 3: Cross multiply
    282,504.56x = 389,761.12 × 159,980.16
  4. Step 4: Simplify right side
    282,504.56x = 62,354,046,339.38
  5. Step 5: Solve for x
    x = 62,354,046,339.38/282,504.56
  6. Step 6: Final answer
    x = 220,718.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.