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Finding the Fourth Proportional to 316,899.89, 475,029.80 and 198,654.11

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Solution

The fourth proportional to 316,899.89, 475,029.80 and 198,654.11 is: 297,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,899.89 : 475,029.80 = 198,654.11 : x
  2. Step 2: Convert to fraction form
    316,899.89/475,029.80 = 198,654.11/x
  3. Step 3: Cross multiply
    316,899.89x = 475,029.80 × 198,654.11
  4. Step 4: Simplify right side
    316,899.89x = 94,366,621,149.21
  5. Step 5: Solve for x
    x = 94,366,621,149.21/316,899.89
  6. Step 6: Final answer
    x = 297,780.54

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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.