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Finding the Fourth Proportional to 369,463.58, 509,860.32 and 199,697.70

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Solution

The fourth proportional to 369,463.58, 509,860.32 and 199,697.70 is: 275,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,463.58 : 509,860.32 = 199,697.70 : x
  2. Step 2: Convert to fraction form
    369,463.58/509,860.32 = 199,697.70/x
  3. Step 3: Cross multiply
    369,463.58x = 509,860.32 × 199,697.70
  4. Step 4: Simplify right side
    369,463.58x = 101,817,935,511.67
  5. Step 5: Solve for x
    x = 101,817,935,511.67/369,463.58
  6. Step 6: Final answer
    x = 275,583.15

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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.