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Finding the Fourth Proportional to 380,470.61, 525,054.89 and 219,322.73

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Solution

The fourth proportional to 380,470.61, 525,054.89 and 219,322.73 is: 302,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,470.61 : 525,054.89 = 219,322.73 : x
  2. Step 2: Convert to fraction form
    380,470.61/525,054.89 = 219,322.73/x
  3. Step 3: Cross multiply
    380,470.61x = 525,054.89 × 219,322.73
  4. Step 4: Simplify right side
    380,470.61x = 115,156,471,874.65
  5. Step 5: Solve for x
    x = 115,156,471,874.65/380,470.61
  6. Step 6: Final answer
    x = 302,668.51

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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.