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Finding the Fourth Proportional to 281,295.40, 421,944.86 and 115,083.40

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Solution

The fourth proportional to 281,295.40, 421,944.86 and 115,083.40 is: 172,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,295.40 : 421,944.86 = 115,083.40 : x
  2. Step 2: Convert to fraction form
    281,295.40/421,944.86 = 115,083.40/x
  3. Step 3: Cross multiply
    281,295.40x = 421,944.86 × 115,083.40
  4. Step 4: Simplify right side
    281,295.40x = 48,558,849,101.32
  5. Step 5: Solve for x
    x = 48,558,849,101.32/281,295.40
  6. Step 6: Final answer
    x = 172,625.82

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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.