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Finding the Fourth Proportional to 551,495.70, 827,267.85 and 311,606.10

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Solution

The fourth proportional to 551,495.70, 827,267.85 and 311,606.10 is: 467,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,495.70 : 827,267.85 = 311,606.10 : x
  2. Step 2: Convert to fraction form
    551,495.70/827,267.85 = 311,606.10/x
  3. Step 3: Cross multiply
    551,495.70x = 827,267.85 × 311,606.10
  4. Step 4: Simplify right side
    551,495.70x = 257,781,708,393.89
  5. Step 5: Solve for x
    x = 257,781,708,393.89/551,495.70
  6. Step 6: Final answer
    x = 467,422.88

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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.