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Finding the Fourth Proportional to 551,498.70, 827,272.35 and 311,609.10

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Solution

The fourth proportional to 551,498.70, 827,272.35 and 311,609.10 is: 467,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,498.70 : 827,272.35 = 311,609.10 : x
  2. Step 2: Convert to fraction form
    551,498.70/827,272.35 = 311,609.10/x
  3. Step 3: Cross multiply
    551,498.70x = 827,272.35 × 311,609.10
  4. Step 4: Simplify right side
    551,498.70x = 257,785,592,438.39
  5. Step 5: Solve for x
    x = 257,785,592,438.39/551,498.70
  6. Step 6: Final answer
    x = 467,427.38

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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.