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Finding the Fourth Proportional to 309,497.78, 464,257.67 and 99,108.38

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Solution

The fourth proportional to 309,497.78, 464,257.67 and 99,108.38 is: 148,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,497.78 : 464,257.67 = 99,108.38 : x
  2. Step 2: Convert to fraction form
    309,497.78/464,257.67 = 99,108.38/x
  3. Step 3: Cross multiply
    309,497.78x = 464,257.67 × 99,108.38
  4. Step 4: Simplify right side
    309,497.78x = 46,011,825,576.27
  5. Step 5: Solve for x
    x = 46,011,825,576.27/309,497.78
  6. Step 6: Final answer
    x = 148,666.09

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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.