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Finding the Fourth Proportional to 281,359, 422,038.50 and 84,367

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Solution

The fourth proportional to 281,359, 422,038.50 and 84,367 is: 126,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,359 : 422,038.50 = 84,367 : x
  2. Step 2: Convert to fraction form
    281,359/422,038.50 = 84,367/x
  3. Step 3: Cross multiply
    281,359x = 422,038.50 × 84,367
  4. Step 4: Simplify right side
    281,359x = 35,606,122,129.50
  5. Step 5: Solve for x
    x = 35,606,122,129.50/281,359
  6. Step 6: Final answer
    x = 126,550.50

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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.