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Finding the Fourth Proportional to 361,125.65, 498,352.94 and 199,980.50

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Solution

The fourth proportional to 361,125.65, 498,352.94 and 199,980.50 is: 275,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,125.65 : 498,352.94 = 199,980.50 : x
  2. Step 2: Convert to fraction form
    361,125.65/498,352.94 = 199,980.50/x
  3. Step 3: Cross multiply
    361,125.65x = 498,352.94 × 199,980.50
  4. Step 4: Simplify right side
    361,125.65x = 99,660,871,863.50
  5. Step 5: Solve for x
    x = 99,660,871,863.50/361,125.65
  6. Step 6: Final answer
    x = 275,972.84

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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.