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Finding the Fourth Proportional to 557,337.90, 769,121.97 and 302,689.11

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Solution

The fourth proportional to 557,337.90, 769,121.97 and 302,689.11 is: 417,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,337.90 : 769,121.97 = 302,689.11 : x
  2. Step 2: Convert to fraction form
    557,337.90/769,121.97 = 302,689.11/x
  3. Step 3: Cross multiply
    557,337.90x = 769,121.97 × 302,689.11
  4. Step 4: Simplify right side
    557,337.90x = 232,804,844,580.75
  5. Step 5: Solve for x
    x = 232,804,844,580.75/557,337.90
  6. Step 6: Final answer
    x = 417,708.62

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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.