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Finding the Fourth Proportional to 356,020.32, 491,311.10 and 203,066.28

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Solution

The fourth proportional to 356,020.32, 491,311.10 and 203,066.28 is: 280,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,020.32 : 491,311.10 = 203,066.28 : x
  2. Step 2: Convert to fraction form
    356,020.32/491,311.10 = 203,066.28/x
  3. Step 3: Cross multiply
    356,020.32x = 491,311.10 × 203,066.28
  4. Step 4: Simplify right side
    356,020.32x = 99,768,717,399.71
  5. Step 5: Solve for x
    x = 99,768,717,399.71/356,020.32
  6. Step 6: Final answer
    x = 280,233.21

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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.