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Finding the Fourth Proportional to 543,658.96, 815,280.68 and 178,835.69

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Solution

The fourth proportional to 543,658.96, 815,280.68 and 178,835.69 is: 268,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,658.96 : 815,280.68 = 178,835.69 : x
  2. Step 2: Convert to fraction form
    543,658.96/815,280.68 = 178,835.69/x
  3. Step 3: Cross multiply
    543,658.96x = 815,280.68 × 178,835.69
  4. Step 4: Simplify right side
    543,658.96x = 145,801,284,095.49
  5. Step 5: Solve for x
    x = 145,801,284,095.49/543,658.96
  6. Step 6: Final answer
    x = 268,185.19

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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.