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Finding the Fourth Proportional to 815,541, 1,125,446.61 and 457,845

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Solution

The fourth proportional to 815,541, 1,125,446.61 and 457,845 is: 631,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,541 : 1,125,446.61 = 457,845 : x
  2. Step 2: Convert to fraction form
    815,541/1,125,446.61 = 457,845/x
  3. Step 3: Cross multiply
    815,541x = 1,125,446.61 × 457,845
  4. Step 4: Simplify right side
    815,541x = 515,280,103,155.45
  5. Step 5: Solve for x
    x = 515,280,103,155.45/815,541
  6. Step 6: Final answer
    x = 631,826.12

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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.