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Finding the Fourth Proportional to 261,277.89, 391,639.35 and 166,209

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Solution

The fourth proportional to 261,277.89, 391,639.35 and 166,209 is: 249,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,277.89 : 391,639.35 = 166,209 : x
  2. Step 2: Convert to fraction form
    261,277.89/391,639.35 = 166,209/x
  3. Step 3: Cross multiply
    261,277.89x = 391,639.35 × 166,209
  4. Step 4: Simplify right side
    261,277.89x = 65,093,984,724.15
  5. Step 5: Solve for x
    x = 65,093,984,724.15/261,277.89
  6. Step 6: Final answer
    x = 249,136.98

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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.