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Finding the Fourth Proportional to 309,712.20, 464,254.54 and 209,882.52

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Solution

The fourth proportional to 309,712.20, 464,254.54 and 209,882.52 is: 314,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,712.20 : 464,254.54 = 209,882.52 : x
  2. Step 2: Convert to fraction form
    309,712.20/464,254.54 = 209,882.52/x
  3. Step 3: Cross multiply
    309,712.20x = 464,254.54 × 209,882.52
  4. Step 4: Simplify right side
    309,712.20x = 97,438,912,776.64
  5. Step 5: Solve for x
    x = 97,438,912,776.64/309,712.20
  6. Step 6: Final answer
    x = 314,611.15

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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.