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Finding the Fourth Proportional to 499,374.80, 749,062.20 and 219,438.80

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Solution

The fourth proportional to 499,374.80, 749,062.20 and 219,438.80 is: 329,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,374.80 : 749,062.20 = 219,438.80 : x
  2. Step 2: Convert to fraction form
    499,374.80/749,062.20 = 219,438.80/x
  3. Step 3: Cross multiply
    499,374.80x = 749,062.20 × 219,438.80
  4. Step 4: Simplify right side
    499,374.80x = 164,373,310,293.36
  5. Step 5: Solve for x
    x = 164,373,310,293.36/499,374.80
  6. Step 6: Final answer
    x = 329,158.20

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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.