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Finding the Fourth Proportional to 391,066.50, 539,671.77 and 212,218.50

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Solution

The fourth proportional to 391,066.50, 539,671.77 and 212,218.50 is: 292,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,066.50 : 539,671.77 = 212,218.50 : x
  2. Step 2: Convert to fraction form
    391,066.50/539,671.77 = 212,218.50/x
  3. Step 3: Cross multiply
    391,066.50x = 539,671.77 × 212,218.50
  4. Step 4: Simplify right side
    391,066.50x = 114,528,333,521.75
  5. Step 5: Solve for x
    x = 114,528,333,521.75/391,066.50
  6. Step 6: Final answer
    x = 292,861.53

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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.