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Finding the Fourth Proportional to 557,604.52, 769,469.16 and 315,882.16

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Solution

The fourth proportional to 557,604.52, 769,469.16 and 315,882.16 is: 435,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,604.52 : 769,469.16 = 315,882.16 : x
  2. Step 2: Convert to fraction form
    557,604.52/769,469.16 = 315,882.16/x
  3. Step 3: Cross multiply
    557,604.52x = 769,469.16 × 315,882.16
  4. Step 4: Simplify right side
    557,604.52x = 243,061,580,314.19
  5. Step 5: Solve for x
    x = 243,061,580,314.19/557,604.52
  6. Step 6: Final answer
    x = 435,903.17

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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.