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Finding the Fourth Proportional to 280,865.70, 421,298.55 and 123,401.70

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Solution

The fourth proportional to 280,865.70, 421,298.55 and 123,401.70 is: 185,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,865.70 : 421,298.55 = 123,401.70 : x
  2. Step 2: Convert to fraction form
    280,865.70/421,298.55 = 123,401.70/x
  3. Step 3: Cross multiply
    280,865.70x = 421,298.55 × 123,401.70
  4. Step 4: Simplify right side
    280,865.70x = 51,988,957,277.54
  5. Step 5: Solve for x
    x = 51,988,957,277.54/280,865.70
  6. Step 6: Final answer
    x = 185,102.55

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1.5x scale

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.