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Finding the Fourth Proportional to 265,474.84, 398,249.70 and 99,247

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Solution

The fourth proportional to 265,474.84, 398,249.70 and 99,247 is: 148,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,474.84 : 398,249.70 = 99,247 : x
  2. Step 2: Convert to fraction form
    265,474.84/398,249.70 = 99,247/x
  3. Step 3: Cross multiply
    265,474.84x = 398,249.70 × 99,247
  4. Step 4: Simplify right side
    265,474.84x = 39,525,087,975.90
  5. Step 5: Solve for x
    x = 39,525,087,975.90/265,474.84
  6. Step 6: Final answer
    x = 148,884.50

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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.