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Finding the Fourth Proportional to 309,759.81, 464,688.32 and 132,267.75

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Solution

The fourth proportional to 309,759.81, 464,688.32 and 132,267.75 is: 198,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,759.81 : 464,688.32 = 132,267.75 : x
  2. Step 2: Convert to fraction form
    309,759.81/464,688.32 = 132,267.75/x
  3. Step 3: Cross multiply
    309,759.81x = 464,688.32 × 132,267.75
  4. Step 4: Simplify right side
    309,759.81x = 61,463,277,876.34
  5. Step 5: Solve for x
    x = 61,463,277,876.34/309,759.81
  6. Step 6: Final answer
    x = 198,422.38

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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.