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Finding the Fourth Proportional to 348,514.60, 522,080.70 and 207,855.40

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Solution

The fourth proportional to 348,514.60, 522,080.70 and 207,855.40 is: 311,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,514.60 : 522,080.70 = 207,855.40 : x
  2. Step 2: Convert to fraction form
    348,514.60/522,080.70 = 207,855.40/x
  3. Step 3: Cross multiply
    348,514.60x = 522,080.70 × 207,855.40
  4. Step 4: Simplify right side
    348,514.60x = 108,517,292,730.78
  5. Step 5: Solve for x
    x = 108,517,292,730.78/348,514.60
  6. Step 6: Final answer
    x = 311,370.87

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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.