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Finding the Fourth Proportional to 557,003.08, 768,642.11 and 315,335.78

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Solution

The fourth proportional to 557,003.08, 768,642.11 and 315,335.78 is: 435,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,003.08 : 768,642.11 = 315,335.78 : x
  2. Step 2: Convert to fraction form
    557,003.08/768,642.11 = 315,335.78/x
  3. Step 3: Cross multiply
    557,003.08x = 768,642.11 × 315,335.78
  4. Step 4: Simplify right side
    557,003.08x = 242,380,362,266.34
  5. Step 5: Solve for x
    x = 242,380,362,266.34/557,003.08
  6. Step 6: Final answer
    x = 435,150.85

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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.