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Finding the Fourth Proportional to 391,261.66, 586,892.50 and 213,671.80

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Solution

The fourth proportional to 391,261.66, 586,892.50 and 213,671.80 is: 320,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,261.66 : 586,892.50 = 213,671.80 : x
  2. Step 2: Convert to fraction form
    391,261.66/586,892.50 = 213,671.80/x
  3. Step 3: Cross multiply
    391,261.66x = 586,892.50 × 213,671.80
  4. Step 4: Simplify right side
    391,261.66x = 125,402,376,881.50
  5. Step 5: Solve for x
    x = 125,402,376,881.50/391,261.66
  6. Step 6: Final answer
    x = 320,507.71

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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.