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Finding the Fourth Proportional to 309,398.45, 464,098.04 and 84,760.82

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Solution

The fourth proportional to 309,398.45, 464,098.04 and 84,760.82 is: 127,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,398.45 : 464,098.04 = 84,760.82 : x
  2. Step 2: Convert to fraction form
    309,398.45/464,098.04 = 84,760.82/x
  3. Step 3: Cross multiply
    309,398.45x = 464,098.04 × 84,760.82
  4. Step 4: Simplify right side
    309,398.45x = 39,337,327,686.50
  5. Step 5: Solve for x
    x = 39,337,327,686.50/309,398.45
  6. Step 6: Final answer
    x = 127,141.32

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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.