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Finding the Fourth Proportional to 517,575.90, 775,902.12 and 201,959.40

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Solution

The fourth proportional to 517,575.90, 775,902.12 and 201,959.40 is: 302,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,575.90 : 775,902.12 = 201,959.40 : x
  2. Step 2: Convert to fraction form
    517,575.90/775,902.12 = 201,959.40/x
  3. Step 3: Cross multiply
    517,575.90x = 775,902.12 × 201,959.40
  4. Step 4: Simplify right side
    517,575.90x = 156,700,726,613.93
  5. Step 5: Solve for x
    x = 156,700,726,613.93/517,575.90
  6. Step 6: Final answer
    x = 302,758.93

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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.