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Finding the Fourth Proportional to 339,715.16, 468,812.88 and 186,759.78

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Solution

The fourth proportional to 339,715.16, 468,812.88 and 186,759.78 is: 257,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,715.16 : 468,812.88 = 186,759.78 : x
  2. Step 2: Convert to fraction form
    339,715.16/468,812.88 = 186,759.78/x
  3. Step 3: Cross multiply
    339,715.16x = 468,812.88 × 186,759.78
  4. Step 4: Simplify right side
    339,715.16x = 87,555,390,329.97
  5. Step 5: Solve for x
    x = 87,555,390,329.97/339,715.16
  6. Step 6: Final answer
    x = 257,731.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.