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Finding the Fourth Proportional to 401,149.86, 553,586.74 and 219,867.61

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Solution

The fourth proportional to 401,149.86, 553,586.74 and 219,867.61 is: 303,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,149.86 : 553,586.74 = 219,867.61 : x
  2. Step 2: Convert to fraction form
    401,149.86/553,586.74 = 219,867.61/x
  3. Step 3: Cross multiply
    401,149.86x = 553,586.74 × 219,867.61
  4. Step 4: Simplify right side
    401,149.86x = 121,715,792,352.15
  5. Step 5: Solve for x
    x = 121,715,792,352.15/401,149.86
  6. Step 6: Final answer
    x = 303,417.26

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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.