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Finding the Fourth Proportional to 330,867.80, 496,301.70 and 212,769.80

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Solution

The fourth proportional to 330,867.80, 496,301.70 and 212,769.80 is: 319,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,867.80 : 496,301.70 = 212,769.80 : x
  2. Step 2: Convert to fraction form
    330,867.80/496,301.70 = 212,769.80/x
  3. Step 3: Cross multiply
    330,867.80x = 496,301.70 × 212,769.80
  4. Step 4: Simplify right side
    330,867.80x = 105,598,013,448.66
  5. Step 5: Solve for x
    x = 105,598,013,448.66/330,867.80
  6. Step 6: Final answer
    x = 319,154.70

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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.