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Finding the Fourth Proportional to 421,874.37, 632,877.28 and 137,498.94

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Solution

The fourth proportional to 421,874.37, 632,877.28 and 137,498.94 is: 206,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,874.37 : 632,877.28 = 137,498.94 : x
  2. Step 2: Convert to fraction form
    421,874.37/632,877.28 = 137,498.94/x
  3. Step 3: Cross multiply
    421,874.37x = 632,877.28 × 137,498.94
  4. Step 4: Simplify right side
    421,874.37x = 87,019,955,150.08
  5. Step 5: Solve for x
    x = 87,019,955,150.08/421,874.37
  6. Step 6: Final answer
    x = 206,269.83

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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.