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Finding the Fourth Proportional to 703,348.95, 970,567.86 and 427,668.51

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Solution

The fourth proportional to 703,348.95, 970,567.86 and 427,668.51 is: 590,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,348.95 : 970,567.86 = 427,668.51 : x
  2. Step 2: Convert to fraction form
    703,348.95/970,567.86 = 427,668.51/x
  3. Step 3: Cross multiply
    703,348.95x = 970,567.86 × 427,668.51
  4. Step 4: Simplify right side
    703,348.95x = 415,081,310,540.09
  5. Step 5: Solve for x
    x = 415,081,310,540.09/703,348.95
  6. Step 6: Final answer
    x = 590,149.90

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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.