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Finding the Fourth Proportional to 687,293.88, 948,470.61 and 381,371.46

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Solution

The fourth proportional to 687,293.88, 948,470.61 and 381,371.46 is: 526,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,293.88 : 948,470.61 = 381,371.46 : x
  2. Step 2: Convert to fraction form
    687,293.88/948,470.61 = 381,371.46/x
  3. Step 3: Cross multiply
    687,293.88x = 948,470.61 × 381,371.46
  4. Step 4: Simplify right side
    687,293.88x = 361,719,621,302.79
  5. Step 5: Solve for x
    x = 361,719,621,302.79/687,293.88
  6. Step 6: Final answer
    x = 526,295.42

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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.