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Finding the Fourth Proportional to 306,045.20, 459,067.80 and 193,852.10

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Solution

The fourth proportional to 306,045.20, 459,067.80 and 193,852.10 is: 290,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,045.20 : 459,067.80 = 193,852.10 : x
  2. Step 2: Convert to fraction form
    306,045.20/459,067.80 = 193,852.10/x
  3. Step 3: Cross multiply
    306,045.20x = 459,067.80 × 193,852.10
  4. Step 4: Simplify right side
    306,045.20x = 88,991,257,072.38
  5. Step 5: Solve for x
    x = 88,991,257,072.38/306,045.20
  6. Step 6: Final answer
    x = 290,778.15

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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.