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Finding the Fourth Proportional to 726,848, 1,003,059.74 and 400,199

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Solution

The fourth proportional to 726,848, 1,003,059.74 and 400,199 is: 552,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,848 : 1,003,059.74 = 400,199 : x
  2. Step 2: Convert to fraction form
    726,848/1,003,059.74 = 400,199/x
  3. Step 3: Cross multiply
    726,848x = 1,003,059.74 × 400,199
  4. Step 4: Simplify right side
    726,848x = 401,423,504,888.26
  5. Step 5: Solve for x
    x = 401,423,504,888.26/726,848
  6. Step 6: Final answer
    x = 552,279.85

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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.