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Finding the Fourth Proportional to 704,672.30, 972,434.28 and 398,743.11

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Solution

The fourth proportional to 704,672.30, 972,434.28 and 398,743.11 is: 550,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,672.30 : 972,434.28 = 398,743.11 : x
  2. Step 2: Convert to fraction form
    704,672.30/972,434.28 = 398,743.11/x
  3. Step 3: Cross multiply
    704,672.30x = 972,434.28 × 398,743.11
  4. Step 4: Simplify right side
    704,672.30x = 387,751,469,077.81
  5. Step 5: Solve for x
    x = 387,751,469,077.81/704,672.30
  6. Step 6: Final answer
    x = 550,257.85

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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.