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Finding the Fourth Proportional to 547,766.60, 821,765.10 and 310,915.40

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Solution

The fourth proportional to 547,766.60, 821,765.10 and 310,915.40 is: 466,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,766.60 : 821,765.10 = 310,915.40 : x
  2. Step 2: Convert to fraction form
    547,766.60/821,765.10 = 310,915.40/x
  3. Step 3: Cross multiply
    547,766.60x = 821,765.10 × 310,915.40
  4. Step 4: Simplify right side
    547,766.60x = 255,499,424,772.54
  5. Step 5: Solve for x
    x = 255,499,424,772.54/547,766.60
  6. Step 6: Final answer
    x = 466,438.49

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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.