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Finding the Fourth Proportional to 280,627.16, 421,106.81 and 103,258.73

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Solution

The fourth proportional to 280,627.16, 421,106.81 and 103,258.73 is: 154,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,627.16 : 421,106.81 = 103,258.73 : x
  2. Step 2: Convert to fraction form
    280,627.16/421,106.81 = 103,258.73/x
  3. Step 3: Cross multiply
    280,627.16x = 421,106.81 × 103,258.73
  4. Step 4: Simplify right side
    280,627.16x = 43,482,954,931.42
  5. Step 5: Solve for x
    x = 43,482,954,931.42/280,627.16
  6. Step 6: Final answer
    x = 154,949.21

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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.