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Finding the Fourth Proportional to 727,218, 1,003,540.59 and 404,927.91

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Solution

The fourth proportional to 727,218, 1,003,540.59 and 404,927.91 is: 558,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,218 : 1,003,540.59 = 404,927.91 : x
  2. Step 2: Convert to fraction form
    727,218/1,003,540.59 = 404,927.91/x
  3. Step 3: Cross multiply
    727,218x = 1,003,540.59 × 404,927.91
  4. Step 4: Simplify right side
    727,218x = 406,361,593,708.87
  5. Step 5: Solve for x
    x = 406,361,593,708.87/727,218
  6. Step 6: Final answer
    x = 558,789.24

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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.