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Finding the Fourth Proportional to 566,078.25, 781,188 and 311,423.97

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Solution

The fourth proportional to 566,078.25, 781,188 and 311,423.97 is: 429,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,078.25 : 781,188 = 311,423.97 : x
  2. Step 2: Convert to fraction form
    566,078.25/781,188 = 311,423.97/x
  3. Step 3: Cross multiply
    566,078.25x = 781,188 × 311,423.97
  4. Step 4: Simplify right side
    566,078.25x = 243,280,668,276.36
  5. Step 5: Solve for x
    x = 243,280,668,276.36/566,078.25
  6. Step 6: Final answer
    x = 429,765.09

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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.