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Finding the Fourth Proportional to 280,315.74, 420,529 and 102,824.40

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Solution

The fourth proportional to 280,315.74, 420,529 and 102,824.40 is: 154,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,315.74 : 420,529 = 102,824.40 : x
  2. Step 2: Convert to fraction form
    280,315.74/420,529 = 102,824.40/x
  3. Step 3: Cross multiply
    280,315.74x = 420,529 × 102,824.40
  4. Step 4: Simplify right side
    280,315.74x = 43,240,642,107.60
  5. Step 5: Solve for x
    x = 43,240,642,107.60/280,315.74
  6. Step 6: Final answer
    x = 154,256.92

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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.