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Finding the Fourth Proportional to 369,185, 509,475.51 and 199,419.13

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Solution

The fourth proportional to 369,185, 509,475.51 and 199,419.13 is: 275,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,185 : 509,475.51 = 199,419.13 : x
  2. Step 2: Convert to fraction form
    369,185/509,475.51 = 199,419.13/x
  3. Step 3: Cross multiply
    369,185x = 509,475.51 × 199,419.13
  4. Step 4: Simplify right side
    369,185x = 101,599,159,416.03
  5. Step 5: Solve for x
    x = 101,599,159,416.03/369,185
  6. Step 6: Final answer
    x = 275,198.50

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