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Finding the Fourth Proportional to 356,386.54, 491,836.94 and 203,455.71

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Solution

The fourth proportional to 356,386.54, 491,836.94 and 203,455.71 is: 280,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,386.54 : 491,836.94 = 203,455.71 : x
  2. Step 2: Convert to fraction form
    356,386.54/491,836.94 = 203,455.71/x
  3. Step 3: Cross multiply
    356,386.54x = 491,836.94 × 203,455.71
  4. Step 4: Simplify right side
    356,386.54x = 100,067,033,831.93
  5. Step 5: Solve for x
    x = 100,067,033,831.93/356,386.54
  6. Step 6: Final answer
    x = 280,782.30

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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.