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Finding the Fourth Proportional to 490,794.29, 736,207.82 and 135,778.58

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Solution

The fourth proportional to 490,794.29, 736,207.82 and 135,778.58 is: 203,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,794.29 : 736,207.82 = 135,778.58 : x
  2. Step 2: Convert to fraction form
    490,794.29/736,207.82 = 135,778.58/x
  3. Step 3: Cross multiply
    490,794.29x = 736,207.82 × 135,778.58
  4. Step 4: Simplify right side
    490,794.29x = 99,961,251,294.51
  5. Step 5: Solve for x
    x = 99,961,251,294.51/490,794.29
  6. Step 6: Final answer
    x = 203,672.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.