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Finding the Fourth Proportional to 557,020.64, 768,473.22 and 315,247.78

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Solution

The fourth proportional to 557,020.64, 768,473.22 and 315,247.78 is: 434,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,020.64 : 768,473.22 = 315,247.78 : x
  2. Step 2: Convert to fraction form
    557,020.64/768,473.22 = 315,247.78/x
  3. Step 3: Cross multiply
    557,020.64x = 768,473.22 × 315,247.78
  4. Step 4: Simplify right side
    557,020.64x = 242,259,476,594.45
  5. Step 5: Solve for x
    x = 242,259,476,594.45/557,020.64
  6. Step 6: Final answer
    x = 434,920.11

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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.