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Finding the Fourth Proportional to 426,257.70, 588,234.51 and 235,269.78

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Solution

The fourth proportional to 426,257.70, 588,234.51 and 235,269.78 is: 324,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,257.70 : 588,234.51 = 235,269.78 : x
  2. Step 2: Convert to fraction form
    426,257.70/588,234.51 = 235,269.78/x
  3. Step 3: Cross multiply
    426,257.70x = 588,234.51 × 235,269.78
  4. Step 4: Simplify right side
    426,257.70x = 138,393,803,756.11
  5. Step 5: Solve for x
    x = 138,393,803,756.11/426,257.70
  6. Step 6: Final answer
    x = 324,671.68

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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.