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Finding the Fourth Proportional to 291,303.73, 402,123.41 and 195,865.75

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Solution

The fourth proportional to 291,303.73, 402,123.41 and 195,865.75 is: 270,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,303.73 : 402,123.41 = 195,865.75 : x
  2. Step 2: Convert to fraction form
    291,303.73/402,123.41 = 195,865.75/x
  3. Step 3: Cross multiply
    291,303.73x = 402,123.41 × 195,865.75
  4. Step 4: Simplify right side
    291,303.73x = 78,762,203,292.21
  5. Step 5: Solve for x
    x = 78,762,203,292.21/291,303.73
  6. Step 6: Final answer
    x = 270,378.29

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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.