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Finding the Fourth Proportional to 369,200.80, 509,496.80 and 199,434.88

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Solution

The fourth proportional to 369,200.80, 509,496.80 and 199,434.88 is: 275,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,200.80 : 509,496.80 = 199,434.88 : x
  2. Step 2: Convert to fraction form
    369,200.80/509,496.80 = 199,434.88/x
  3. Step 3: Cross multiply
    369,200.80x = 509,496.80 × 199,434.88
  4. Step 4: Simplify right side
    369,200.80x = 101,611,433,168.38
  5. Step 5: Solve for x
    x = 101,611,433,168.38/369,200.80
  6. Step 6: Final answer
    x = 275,219.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.