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Finding the Fourth Proportional to 315,142.92, 472,798.62 and 137,664.36

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Solution

The fourth proportional to 315,142.92, 472,798.62 and 137,664.36 is: 206,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,142.92 : 472,798.62 = 137,664.36 : x
  2. Step 2: Convert to fraction form
    315,142.92/472,798.62 = 137,664.36/x
  3. Step 3: Cross multiply
    315,142.92x = 472,798.62 × 137,664.36
  4. Step 4: Simplify right side
    315,142.92x = 65,087,519,431.18
  5. Step 5: Solve for x
    x = 65,087,519,431.18/315,142.92
  6. Step 6: Final answer
    x = 206,533.34

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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.