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Finding the Fourth Proportional to 309,866.49, 464,996.34 and 132,374.79

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Solution

The fourth proportional to 309,866.49, 464,996.34 and 132,374.79 is: 198,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,866.49 : 464,996.34 = 132,374.79 : x
  2. Step 2: Convert to fraction form
    309,866.49/464,996.34 = 132,374.79/x
  3. Step 3: Cross multiply
    309,866.49x = 464,996.34 × 132,374.79
  4. Step 4: Simplify right side
    309,866.49x = 61,553,792,858.27
  5. Step 5: Solve for x
    x = 61,553,792,858.27/309,866.49
  6. Step 6: Final answer
    x = 198,646.17

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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.