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Finding the Fourth Proportional to 391,261.16, 586,891.74 and 213,671.30

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Solution

The fourth proportional to 391,261.16, 586,891.74 and 213,671.30 is: 320,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,261.16 : 586,891.74 = 213,671.30 : x
  2. Step 2: Convert to fraction form
    391,261.16/586,891.74 = 213,671.30/x
  3. Step 3: Cross multiply
    391,261.16x = 586,891.74 × 213,671.30
  4. Step 4: Simplify right side
    391,261.16x = 125,401,918,110.60
  5. Step 5: Solve for x
    x = 125,401,918,110.60/391,261.16
  6. Step 6: Final answer
    x = 320,506.94

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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.