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Finding the Fourth Proportional to 280,626.69, 421,082.19 and 122,856.51

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Solution

The fourth proportional to 280,626.69, 421,082.19 and 122,856.51 is: 184,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,626.69 : 421,082.19 = 122,856.51 : x
  2. Step 2: Convert to fraction form
    280,626.69/421,082.19 = 122,856.51/x
  3. Step 3: Cross multiply
    280,626.69x = 421,082.19 × 122,856.51
  4. Step 4: Simplify right side
    280,626.69x = 51,732,688,286.56
  5. Step 5: Solve for x
    x = 51,732,688,286.56/280,626.69
  6. Step 6: Final answer
    x = 184,347.00

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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.