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Finding the Fourth Proportional to 557,141.22, 768,872.25 and 315,419.40

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Solution

The fourth proportional to 557,141.22, 768,872.25 and 315,419.40 is: 435,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,141.22 : 768,872.25 = 315,419.40 : x
  2. Step 2: Convert to fraction form
    557,141.22/768,872.25 = 315,419.40/x
  3. Step 3: Cross multiply
    557,141.22x = 768,872.25 × 315,419.40
  4. Step 4: Simplify right side
    557,141.22x = 242,517,223,771.65
  5. Step 5: Solve for x
    x = 242,517,223,771.65/557,141.22
  6. Step 6: Final answer
    x = 435,288.60

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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.