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Finding the Fourth Proportional to 369,309.84, 509,647.92 and 199,544.40

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Solution

The fourth proportional to 369,309.84, 509,647.92 and 199,544.40 is: 275,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,309.84 : 509,647.92 = 199,544.40 : x
  2. Step 2: Convert to fraction form
    369,309.84/509,647.92 = 199,544.40/x
  3. Step 3: Cross multiply
    369,309.84x = 509,647.92 × 199,544.40
  4. Step 4: Simplify right side
    369,309.84x = 101,697,388,407.65
  5. Step 5: Solve for x
    x = 101,697,388,407.65/369,309.84
  6. Step 6: Final answer
    x = 275,371.46

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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.