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Finding the Fourth Proportional to 401,149.36, 553,586.05 and 219,867.11

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Solution

The fourth proportional to 401,149.36, 553,586.05 and 219,867.11 is: 303,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,149.36 : 553,586.05 = 219,867.11 : x
  2. Step 2: Convert to fraction form
    401,149.36/553,586.05 = 219,867.11/x
  3. Step 3: Cross multiply
    401,149.36x = 553,586.05 × 219,867.11
  4. Step 4: Simplify right side
    401,149.36x = 121,715,363,295.91
  5. Step 5: Solve for x
    x = 121,715,363,295.91/401,149.36
  6. Step 6: Final answer
    x = 303,416.57

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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.