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Finding the Fourth Proportional to 305,659.45, 457,892.73 and 200,158.57

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Solution

The fourth proportional to 305,659.45, 457,892.73 and 200,158.57 is: 299,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,659.45 : 457,892.73 = 200,158.57 : x
  2. Step 2: Convert to fraction form
    305,659.45/457,892.73 = 200,158.57/x
  3. Step 3: Cross multiply
    305,659.45x = 457,892.73 × 200,158.57
  4. Step 4: Simplify right side
    305,659.45x = 91,651,154,050.20
  5. Step 5: Solve for x
    x = 91,651,154,050.20/305,659.45
  6. Step 6: Final answer
    x = 299,847.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.