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Finding the Fourth Proportional to 348,833.80, 523,250.70 and 208,520.20

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Solution

The fourth proportional to 348,833.80, 523,250.70 and 208,520.20 is: 312,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,833.80 : 523,250.70 = 208,520.20 : x
  2. Step 2: Convert to fraction form
    348,833.80/523,250.70 = 208,520.20/x
  3. Step 3: Cross multiply
    348,833.80x = 523,250.70 × 208,520.20
  4. Step 4: Simplify right side
    348,833.80x = 109,108,340,614.14
  5. Step 5: Solve for x
    x = 109,108,340,614.14/348,833.80
  6. Step 6: Final answer
    x = 312,780.30

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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.