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Finding the Fourth Proportional to 348,019.20, 521,251.20 and 285,811.20

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Solution

The fourth proportional to 348,019.20, 521,251.20 and 285,811.20 is: 428,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,019.20 : 521,251.20 = 285,811.20 : x
  2. Step 2: Convert to fraction form
    348,019.20/521,251.20 = 285,811.20/x
  3. Step 3: Cross multiply
    348,019.20x = 521,251.20 × 285,811.20
  4. Step 4: Simplify right side
    348,019.20x = 148,979,430,973.44
  5. Step 5: Solve for x
    x = 148,979,430,973.44/348,019.20
  6. Step 6: Final answer
    x = 428,078.20

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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.