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Finding the Fourth Proportional to 318,998.32, 478,046.10 and 176,906.09

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Solution

The fourth proportional to 318,998.32, 478,046.10 and 176,906.09 is: 265,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,998.32 : 478,046.10 = 176,906.09 : x
  2. Step 2: Convert to fraction form
    318,998.32/478,046.10 = 176,906.09/x
  3. Step 3: Cross multiply
    318,998.32x = 478,046.10 × 176,906.09
  4. Step 4: Simplify right side
    318,998.32x = 84,569,266,390.75
  5. Step 5: Solve for x
    x = 84,569,266,390.75/318,998.32
  6. Step 6: Final answer
    x = 265,108.81

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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.