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Finding the Fourth Proportional to 703,613.28, 971,034.92 and 428,078.64

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Solution

The fourth proportional to 703,613.28, 971,034.92 and 428,078.64 is: 590,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,613.28 : 971,034.92 = 428,078.64 : x
  2. Step 2: Convert to fraction form
    703,613.28/971,034.92 = 428,078.64/x
  3. Step 3: Cross multiply
    703,613.28x = 971,034.92 × 428,078.64
  4. Step 4: Simplify right side
    703,613.28x = 415,679,305,805.72
  5. Step 5: Solve for x
    x = 415,679,305,805.72/703,613.28
  6. Step 6: Final answer
    x = 590,778.08

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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.