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Finding the Fourth Proportional to 551,505.70, 827,282.85 and 311,616.10

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Solution

The fourth proportional to 551,505.70, 827,282.85 and 311,616.10 is: 467,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,505.70 : 827,282.85 = 311,616.10 : x
  2. Step 2: Convert to fraction form
    551,505.70/827,282.85 = 311,616.10/x
  3. Step 3: Cross multiply
    551,505.70x = 827,282.85 × 311,616.10
  4. Step 4: Simplify right side
    551,505.70x = 257,794,655,313.89
  5. Step 5: Solve for x
    x = 257,794,655,313.89/551,505.70
  6. Step 6: Final answer
    x = 467,437.88

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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.