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Finding the Fourth Proportional to 399,815.96, 551,692.77 and 256,769.78

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Solution

The fourth proportional to 399,815.96, 551,692.77 and 256,769.78 is: 354,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,815.96 : 551,692.77 = 256,769.78 : x
  2. Step 2: Convert to fraction form
    399,815.96/551,692.77 = 256,769.78/x
  3. Step 3: Cross multiply
    399,815.96x = 551,692.77 × 256,769.78
  4. Step 4: Simplify right side
    399,815.96x = 141,658,031,180.49
  5. Step 5: Solve for x
    x = 141,658,031,180.49/399,815.96
  6. Step 6: Final answer
    x = 354,308.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.