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Finding the Fourth Proportional to 514,080.12, 770,995.98 and 198,335.64

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Solution

The fourth proportional to 514,080.12, 770,995.98 and 198,335.64 is: 297,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,080.12 : 770,995.98 = 198,335.64 : x
  2. Step 2: Convert to fraction form
    514,080.12/770,995.98 = 198,335.64/x
  3. Step 3: Cross multiply
    514,080.12x = 770,995.98 × 198,335.64
  4. Step 4: Simplify right side
    514,080.12x = 152,915,981,130.73
  5. Step 5: Solve for x
    x = 152,915,981,130.73/514,080.12
  6. Step 6: Final answer
    x = 297,455.54

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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.