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Finding the Fourth Proportional to 315,406.21, 472,943.07 and 137,705.64

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Solution

The fourth proportional to 315,406.21, 472,943.07 and 137,705.64 is: 206,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,406.21 : 472,943.07 = 137,705.64 : x
  2. Step 2: Convert to fraction form
    315,406.21/472,943.07 = 137,705.64/x
  3. Step 3: Cross multiply
    315,406.21x = 472,943.07 × 137,705.64
  4. Step 4: Simplify right side
    315,406.21x = 65,126,928,137.91
  5. Step 5: Solve for x
    x = 65,126,928,137.91/315,406.21
  6. Step 6: Final answer
    x = 206,485.88

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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.