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Finding the Fourth Proportional to 381,133.16, 526,132.58 and 266,861

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Solution

The fourth proportional to 381,133.16, 526,132.58 and 266,861 is: 368,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,133.16 : 526,132.58 = 266,861 : x
  2. Step 2: Convert to fraction form
    381,133.16/526,132.58 = 266,861/x
  3. Step 3: Cross multiply
    381,133.16x = 526,132.58 × 266,861
  4. Step 4: Simplify right side
    381,133.16x = 140,404,266,431.38
  5. Step 5: Solve for x
    x = 140,404,266,431.38/381,133.16
  6. Step 6: Final answer
    x = 368,386.38

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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.