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Finding the Fourth Proportional to 426,081.26, 638,636.28 and 266,231

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Solution

The fourth proportional to 426,081.26, 638,636.28 and 266,231 is: 399,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,081.26 : 638,636.28 = 266,231 : x
  2. Step 2: Convert to fraction form
    426,081.26/638,636.28 = 266,231/x
  3. Step 3: Cross multiply
    426,081.26x = 638,636.28 × 266,231
  4. Step 4: Simplify right side
    426,081.26x = 170,024,775,460.68
  5. Step 5: Solve for x
    x = 170,024,775,460.68/426,081.26
  6. Step 6: Final answer
    x = 399,043.07

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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.