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Finding the Fourth Proportional to 369,185.38, 509,476.02 and 199,419.50

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Solution

The fourth proportional to 369,185.38, 509,476.02 and 199,419.50 is: 275,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,185.38 : 509,476.02 = 199,419.50 : x
  2. Step 2: Convert to fraction form
    369,185.38/509,476.02 = 199,419.50/x
  3. Step 3: Cross multiply
    369,185.38x = 509,476.02 × 199,419.50
  4. Step 4: Simplify right side
    369,185.38x = 101,599,453,170.39
  5. Step 5: Solve for x
    x = 101,599,453,170.39/369,185.38
  6. Step 6: Final answer
    x = 275,199.02

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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.