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Finding the Fourth Proportional to 315,066.80, 472,945.80 and 196,871.60

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Solution

The fourth proportional to 315,066.80, 472,945.80 and 196,871.60 is: 295,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,066.80 : 472,945.80 = 196,871.60 : x
  2. Step 2: Convert to fraction form
    315,066.80/472,945.80 = 196,871.60/x
  3. Step 3: Cross multiply
    315,066.80x = 472,945.80 × 196,871.60
  4. Step 4: Simplify right side
    315,066.80x = 93,109,596,359.28
  5. Step 5: Solve for x
    x = 93,109,596,359.28/315,066.80
  6. Step 6: Final answer
    x = 295,523.35

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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.