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Finding the Fourth Proportional to 312,298.91, 430,871.47 and 191,313.95

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Solution

The fourth proportional to 312,298.91, 430,871.47 and 191,313.95 is: 263,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,298.91 : 430,871.47 = 191,313.95 : x
  2. Step 2: Convert to fraction form
    312,298.91/430,871.47 = 191,313.95/x
  3. Step 3: Cross multiply
    312,298.91x = 430,871.47 × 191,313.95
  4. Step 4: Simplify right side
    312,298.91x = 82,431,722,868.01
  5. Step 5: Solve for x
    x = 82,431,722,868.01/312,298.91
  6. Step 6: Final answer
    x = 263,951.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.