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Finding the Fourth Proportional to 363,904.78, 502,190.65 and 211,033.74

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Solution

The fourth proportional to 363,904.78, 502,190.65 and 211,033.74 is: 291,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,904.78 : 502,190.65 = 211,033.74 : x
  2. Step 2: Convert to fraction form
    363,904.78/502,190.65 = 211,033.74/x
  3. Step 3: Cross multiply
    363,904.78x = 502,190.65 × 211,033.74
  4. Step 4: Simplify right side
    363,904.78x = 105,979,170,017.86
  5. Step 5: Solve for x
    x = 105,979,170,017.86/363,904.78
  6. Step 6: Final answer
    x = 291,227.75

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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.