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Finding the Fourth Proportional to 557,876.63, 769,840.23 and 316,162.10

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Solution

The fourth proportional to 557,876.63, 769,840.23 and 316,162.10 is: 436,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,876.63 : 769,840.23 = 316,162.10 : x
  2. Step 2: Convert to fraction form
    557,876.63/769,840.23 = 316,162.10/x
  3. Step 3: Cross multiply
    557,876.63x = 769,840.23 × 316,162.10
  4. Step 4: Simplify right side
    557,876.63x = 243,394,306,891.49
  5. Step 5: Solve for x
    x = 243,394,306,891.49/557,876.63
  6. Step 6: Final answer
    x = 436,286.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.