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Finding the Fourth Proportional to 288,811.42, 433,429.98 and 137,008.96

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Solution

The fourth proportional to 288,811.42, 433,429.98 and 137,008.96 is: 205,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,811.42 : 433,429.98 = 137,008.96 : x
  2. Step 2: Convert to fraction form
    288,811.42/433,429.98 = 137,008.96/x
  3. Step 3: Cross multiply
    288,811.42x = 433,429.98 × 137,008.96
  4. Step 4: Simplify right side
    288,811.42x = 59,383,790,792.62
  5. Step 5: Solve for x
    x = 59,383,790,792.62/288,811.42
  6. Step 6: Final answer
    x = 205,614.41

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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.