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Finding the Fourth Proportional to 868,912.13, 1,301,671.40 and 412,854.36

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Solution

The fourth proportional to 868,912.13, 1,301,671.40 and 412,854.36 is: 618,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,912.13 : 1,301,671.40 = 412,854.36 : x
  2. Step 2: Convert to fraction form
    868,912.13/1,301,671.40 = 412,854.36/x
  3. Step 3: Cross multiply
    868,912.13x = 1,301,671.40 × 412,854.36
  4. Step 4: Simplify right side
    868,912.13x = 537,400,712,777.30
  5. Step 5: Solve for x
    x = 537,400,712,777.30/868,912.13
  6. Step 6: Final answer
    x = 618,475.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.