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Finding the Fourth Proportional to 273,409.84, 410,112.30 and 86,421.40

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Solution

The fourth proportional to 273,409.84, 410,112.30 and 86,421.40 is: 129,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,409.84 : 410,112.30 = 86,421.40 : x
  2. Step 2: Convert to fraction form
    273,409.84/410,112.30 = 86,421.40/x
  3. Step 3: Cross multiply
    273,409.84x = 410,112.30 × 86,421.40
  4. Step 4: Simplify right side
    273,409.84x = 35,442,479,123.22
  5. Step 5: Solve for x
    x = 35,442,479,123.22/273,409.84
  6. Step 6: Final answer
    x = 129,631.32

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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.