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Finding the Fourth Proportional to 318,999.20, 478,564.42 and 219,206.39

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Solution

The fourth proportional to 318,999.20, 478,564.42 and 219,206.39 is: 328,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,999.20 : 478,564.42 = 219,206.39 : x
  2. Step 2: Convert to fraction form
    318,999.20/478,564.42 = 219,206.39/x
  3. Step 3: Cross multiply
    318,999.20x = 478,564.42 × 219,206.39
  4. Step 4: Simplify right side
    318,999.20x = 104,904,378,890.64
  5. Step 5: Solve for x
    x = 104,904,378,890.64/318,999.20
  6. Step 6: Final answer
    x = 328,854.68

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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.