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Finding the Fourth Proportional to 491,872.72, 677,355.06 and 427,312.48

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Solution

The fourth proportional to 491,872.72, 677,355.06 and 427,312.48 is: 588,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,872.72 : 677,355.06 = 427,312.48 : x
  2. Step 2: Convert to fraction form
    491,872.72/677,355.06 = 427,312.48/x
  3. Step 3: Cross multiply
    491,872.72x = 677,355.06 × 427,312.48
  4. Step 4: Simplify right side
    491,872.72x = 289,442,270,529.15
  5. Step 5: Solve for x
    x = 289,442,270,529.15/491,872.72
  6. Step 6: Final answer
    x = 588,449.53

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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.