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Finding the Fourth Proportional to 866,078.64, 1,299,034.46 and 266,878.91

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Solution

The fourth proportional to 866,078.64, 1,299,034.46 and 266,878.91 is: 400,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,078.64 : 1,299,034.46 = 266,878.91 : x
  2. Step 2: Convert to fraction form
    866,078.64/1,299,034.46 = 266,878.91/x
  3. Step 3: Cross multiply
    866,078.64x = 1,299,034.46 × 266,878.91
  4. Step 4: Simplify right side
    866,078.64x = 346,684,904,652.02
  5. Step 5: Solve for x
    x = 346,684,904,652.02/866,078.64
  6. Step 6: Final answer
    x = 400,292.64

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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.