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Finding the Fourth Proportional to 280,626.46, 421,105.76 and 103,258.02

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Solution

The fourth proportional to 280,626.46, 421,105.76 and 103,258.02 is: 154,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,626.46 : 421,105.76 = 103,258.02 : x
  2. Step 2: Convert to fraction form
    280,626.46/421,105.76 = 103,258.02/x
  3. Step 3: Cross multiply
    280,626.46x = 421,105.76 × 103,258.02
  4. Step 4: Simplify right side
    280,626.46x = 43,482,546,471.91
  5. Step 5: Solve for x
    x = 43,482,546,471.91/280,626.46
  6. Step 6: Final answer
    x = 154,948.14

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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.