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Finding the Fourth Proportional to 400,728.54, 601,314.16 and 223,335.52

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Solution

The fourth proportional to 400,728.54, 601,314.16 and 223,335.52 is: 335,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,728.54 : 601,314.16 = 223,335.52 : x
  2. Step 2: Convert to fraction form
    400,728.54/601,314.16 = 223,335.52/x
  3. Step 3: Cross multiply
    400,728.54x = 601,314.16 × 223,335.52
  4. Step 4: Simplify right side
    400,728.54x = 134,294,810,606.96
  5. Step 5: Solve for x
    x = 134,294,810,606.96/400,728.54
  6. Step 6: Final answer
    x = 335,126.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.