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Finding the Fourth Proportional to 369,190.24, 509,482.76 and 199,424.40

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Solution

The fourth proportional to 369,190.24, 509,482.76 and 199,424.40 is: 275,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,190.24 : 509,482.76 = 199,424.40 : x
  2. Step 2: Convert to fraction form
    369,190.24/509,482.76 = 199,424.40/x
  3. Step 3: Cross multiply
    369,190.24x = 509,482.76 × 199,424.40
  4. Step 4: Simplify right side
    369,190.24x = 101,603,293,723.34
  5. Step 5: Solve for x
    x = 101,603,293,723.34/369,190.24
  6. Step 6: Final answer
    x = 275,205.80

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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.