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Finding the Fourth Proportional to 391,357.80, 586,259.10 and 213,546.60

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Solution

The fourth proportional to 391,357.80, 586,259.10 and 213,546.60 is: 319,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,357.80 : 586,259.10 = 213,546.60 : x
  2. Step 2: Convert to fraction form
    391,357.80/586,259.10 = 213,546.60/x
  3. Step 3: Cross multiply
    391,357.80x = 586,259.10 × 213,546.60
  4. Step 4: Simplify right side
    391,357.80x = 125,193,637,524.06
  5. Step 5: Solve for x
    x = 125,193,637,524.06/391,357.80
  6. Step 6: Final answer
    x = 319,895.60

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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.