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Finding the Fourth Proportional to 309,604.31, 464,415.35 and 84,966.61

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Solution

The fourth proportional to 309,604.31, 464,415.35 and 84,966.61 is: 127,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,604.31 : 464,415.35 = 84,966.61 : x
  2. Step 2: Convert to fraction form
    309,604.31/464,415.35 = 84,966.61/x
  3. Step 3: Cross multiply
    309,604.31x = 464,415.35 × 84,966.61
  4. Step 4: Simplify right side
    309,604.31x = 39,459,797,921.46
  5. Step 5: Solve for x
    x = 39,459,797,921.46/309,604.31
  6. Step 6: Final answer
    x = 127,452.35

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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.