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Finding the Fourth Proportional to 495,221.44, 684,046.62 and 409,526.56

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Solution

The fourth proportional to 495,221.44, 684,046.62 and 409,526.56 is: 565,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,221.44 : 684,046.62 = 409,526.56 : x
  2. Step 2: Convert to fraction form
    495,221.44/684,046.62 = 409,526.56/x
  3. Step 3: Cross multiply
    495,221.44x = 684,046.62 × 409,526.56
  4. Step 4: Simplify right side
    495,221.44x = 280,135,259,168.23
  5. Step 5: Solve for x
    x = 280,135,259,168.23/495,221.44
  6. Step 6: Final answer
    x = 565,676.76

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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.