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Finding the Fourth Proportional to 281,328.64, 421,856.80 and 103,919.20

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Solution

The fourth proportional to 281,328.64, 421,856.80 and 103,919.20 is: 155,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,328.64 : 421,856.80 = 103,919.20 : x
  2. Step 2: Convert to fraction form
    281,328.64/421,856.80 = 103,919.20/x
  3. Step 3: Cross multiply
    281,328.64x = 421,856.80 × 103,919.20
  4. Step 4: Simplify right side
    281,328.64x = 43,839,021,170.56
  5. Step 5: Solve for x
    x = 43,839,021,170.56/281,328.64
  6. Step 6: Final answer
    x = 155,828.50

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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.