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Finding the Fourth Proportional to 551,402.70, 827,104.05 and 152,105.10

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Solution

The fourth proportional to 551,402.70, 827,104.05 and 152,105.10 is: 228,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,402.70 : 827,104.05 = 152,105.10 : x
  2. Step 2: Convert to fraction form
    551,402.70/827,104.05 = 152,105.10/x
  3. Step 3: Cross multiply
    551,402.70x = 827,104.05 × 152,105.10
  4. Step 4: Simplify right side
    551,402.70x = 125,806,744,235.66
  5. Step 5: Solve for x
    x = 125,806,744,235.66/551,402.70
  6. Step 6: Final answer
    x = 228,157.65

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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.