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Finding the Fourth Proportional to 310,031.20, 465,046.80 and 209,647.90

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Solution

The fourth proportional to 310,031.20, 465,046.80 and 209,647.90 is: 314,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,031.20 : 465,046.80 = 209,647.90 : x
  2. Step 2: Convert to fraction form
    310,031.20/465,046.80 = 209,647.90/x
  3. Step 3: Cross multiply
    310,031.20x = 465,046.80 × 209,647.90
  4. Step 4: Simplify right side
    310,031.20x = 97,496,085,021.72
  5. Step 5: Solve for x
    x = 97,496,085,021.72/310,031.20
  6. Step 6: Final answer
    x = 314,471.85

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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.