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Finding the Fourth Proportional to 348,047.20, 521,293.20 and 285,839.20

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Solution

The fourth proportional to 348,047.20, 521,293.20 and 285,839.20 is: 428,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,047.20 : 521,293.20 = 285,839.20 : x
  2. Step 2: Convert to fraction form
    348,047.20/521,293.20 = 285,839.20/x
  3. Step 3: Cross multiply
    348,047.20x = 521,293.20 × 285,839.20
  4. Step 4: Simplify right side
    348,047.20x = 149,006,031,253.44
  5. Step 5: Solve for x
    x = 149,006,031,253.44/348,047.20
  6. Step 6: Final answer
    x = 428,120.18

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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.