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Finding the Fourth Proportional to 426,029.57, 638,558.42 and 266,179

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Solution

The fourth proportional to 426,029.57, 638,558.42 and 266,179 is: 398,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,029.57 : 638,558.42 = 266,179 : x
  2. Step 2: Convert to fraction form
    426,029.57/638,558.42 = 266,179/x
  3. Step 3: Cross multiply
    426,029.57x = 638,558.42 × 266,179
  4. Step 4: Simplify right side
    426,029.57x = 169,970,841,677.18
  5. Step 5: Solve for x
    x = 169,970,841,677.18/426,029.57
  6. Step 6: Final answer
    x = 398,964.89

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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.