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Finding the Fourth Proportional to 290,106.64, 400,244.52 and 189,562.96

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Solution

The fourth proportional to 290,106.64, 400,244.52 and 189,562.96 is: 261,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,106.64 : 400,244.52 = 189,562.96 : x
  2. Step 2: Convert to fraction form
    290,106.64/400,244.52 = 189,562.96/x
  3. Step 3: Cross multiply
    290,106.64x = 400,244.52 × 189,562.96
  4. Step 4: Simplify right side
    290,106.64x = 75,871,535,934.98
  5. Step 5: Solve for x
    x = 75,871,535,934.98/290,106.64
  6. Step 6: Final answer
    x = 261,529.82

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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.