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Finding the Fourth Proportional to 551,493.70, 827,264.85 and 311,604.10

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Solution

The fourth proportional to 551,493.70, 827,264.85 and 311,604.10 is: 467,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,493.70 : 827,264.85 = 311,604.10 : x
  2. Step 2: Convert to fraction form
    551,493.70/827,264.85 = 311,604.10/x
  3. Step 3: Cross multiply
    551,493.70x = 827,264.85 × 311,604.10
  4. Step 4: Simplify right side
    551,493.70x = 257,779,119,045.89
  5. Step 5: Solve for x
    x = 257,779,119,045.89/551,493.70
  6. Step 6: Final answer
    x = 467,419.88

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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.