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Finding the Fourth Proportional to 362,087.87, 499,565.65 and 209,105.84

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Solution

The fourth proportional to 362,087.87, 499,565.65 and 209,105.84 is: 288,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,087.87 : 499,565.65 = 209,105.84 : x
  2. Step 2: Convert to fraction form
    362,087.87/499,565.65 = 209,105.84/x
  3. Step 3: Cross multiply
    362,087.87x = 499,565.65 × 209,105.84
  4. Step 4: Simplify right side
    362,087.87x = 104,462,095,604.55
  5. Step 5: Solve for x
    x = 104,462,095,604.55/362,087.87
  6. Step 6: Final answer
    x = 288,499.30

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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.