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Finding the Fourth Proportional to 296,988, 409,843.52 and 162,854.88

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Solution

The fourth proportional to 296,988, 409,843.52 and 162,854.88 is: 224,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,988 : 409,843.52 = 162,854.88 : x
  2. Step 2: Convert to fraction form
    296,988/409,843.52 = 162,854.88/x
  3. Step 3: Cross multiply
    296,988x = 409,843.52 × 162,854.88
  4. Step 4: Simplify right side
    296,988x = 66,745,017,268.38
  5. Step 5: Solve for x
    x = 66,745,017,268.38/296,988
  6. Step 6: Final answer
    x = 224,739.78

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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.