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Finding the Fourth Proportional to 215,503.22, 323,553 and 148,778.66

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Solution

The fourth proportional to 215,503.22, 323,553 and 148,778.66 is: 223,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,503.22 : 323,553 = 148,778.66 : x
  2. Step 2: Convert to fraction form
    215,503.22/323,553 = 148,778.66/x
  3. Step 3: Cross multiply
    215,503.22x = 323,553 × 148,778.66
  4. Step 4: Simplify right side
    215,503.22x = 48,137,781,778.98
  5. Step 5: Solve for x
    x = 48,137,781,778.98/215,503.22
  6. Step 6: Final answer
    x = 223,373.84

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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.