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Finding the Fourth Proportional to 472,600.56, 708,288.48 and 191,964.72

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Solution

The fourth proportional to 472,600.56, 708,288.48 and 191,964.72 is: 287,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,600.56 : 708,288.48 = 191,964.72 : x
  2. Step 2: Convert to fraction form
    472,600.56/708,288.48 = 191,964.72/x
  3. Step 3: Cross multiply
    472,600.56x = 708,288.48 × 191,964.72
  4. Step 4: Simplify right side
    472,600.56x = 135,966,399,742.43
  5. Step 5: Solve for x
    x = 135,966,399,742.43/472,600.56
  6. Step 6: Final answer
    x = 287,698.35

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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.