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Finding the Fourth Proportional to 493,434.12, 680,939.10 and 267,079.80

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Solution

The fourth proportional to 493,434.12, 680,939.10 and 267,079.80 is: 368,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,434.12 : 680,939.10 = 267,079.80 : x
  2. Step 2: Convert to fraction form
    493,434.12/680,939.10 = 267,079.80/x
  3. Step 3: Cross multiply
    493,434.12x = 680,939.10 × 267,079.80
  4. Step 4: Simplify right side
    493,434.12x = 181,865,078,640.18
  5. Step 5: Solve for x
    x = 181,865,078,640.18/493,434.12
  6. Step 6: Final answer
    x = 368,570.13

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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.