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Finding the Fourth Proportional to 557,648.71, 769,559.92 and 302,999.90

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Solution

The fourth proportional to 557,648.71, 769,559.92 and 302,999.90 is: 418,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,648.71 : 769,559.92 = 302,999.90 : x
  2. Step 2: Convert to fraction form
    557,648.71/769,559.92 = 302,999.90/x
  3. Step 3: Cross multiply
    557,648.71x = 769,559.92 × 302,999.90
  4. Step 4: Simplify right side
    557,648.71x = 233,176,574,198.71
  5. Step 5: Solve for x
    x = 233,176,574,198.71/557,648.71
  6. Step 6: Final answer
    x = 418,142.41

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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.