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Finding the Fourth Proportional to 356,318.51, 491,582.72 and 203,365.20

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Solution

The fourth proportional to 356,318.51, 491,582.72 and 203,365.20 is: 280,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,318.51 : 491,582.72 = 203,365.20 : x
  2. Step 2: Convert to fraction form
    356,318.51/491,582.72 = 203,365.20/x
  3. Step 3: Cross multiply
    356,318.51x = 491,582.72 × 203,365.20
  4. Step 4: Simplify right side
    356,318.51x = 99,970,817,756.04
  5. Step 5: Solve for x
    x = 99,970,817,756.04/356,318.51
  6. Step 6: Final answer
    x = 280,565.88

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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.