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Finding the Fourth Proportional to 514,912.80, 772,138.80 and 199,264.80

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Solution

The fourth proportional to 514,912.80, 772,138.80 and 199,264.80 is: 298,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,912.80 : 772,138.80 = 199,264.80 : x
  2. Step 2: Convert to fraction form
    514,912.80/772,138.80 = 199,264.80/x
  3. Step 3: Cross multiply
    514,912.80x = 772,138.80 × 199,264.80
  4. Step 4: Simplify right side
    514,912.80x = 153,860,083,554.24
  5. Step 5: Solve for x
    x = 153,860,083,554.24/514,912.80
  6. Step 6: Final answer
    x = 298,808.04

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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.