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Finding the Fourth Proportional to 348,007.80, 522,083.70 and 198,319.80

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Solution

The fourth proportional to 348,007.80, 522,083.70 and 198,319.80 is: 297,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,007.80 : 522,083.70 = 198,319.80 : x
  2. Step 2: Convert to fraction form
    348,007.80/522,083.70 = 198,319.80/x
  3. Step 3: Cross multiply
    348,007.80x = 522,083.70 × 198,319.80
  4. Step 4: Simplify right side
    348,007.80x = 103,539,534,967.26
  5. Step 5: Solve for x
    x = 103,539,534,967.26/348,007.80
  6. Step 6: Final answer
    x = 297,520.73

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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.