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Finding the Fourth Proportional to 288,715.57, 433,199.96 and 137,022.21

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Solution

The fourth proportional to 288,715.57, 433,199.96 and 137,022.21 is: 205,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,715.57 : 433,199.96 = 137,022.21 : x
  2. Step 2: Convert to fraction form
    288,715.57/433,199.96 = 137,022.21/x
  3. Step 3: Cross multiply
    288,715.57x = 433,199.96 × 137,022.21
  4. Step 4: Simplify right side
    288,715.57x = 59,358,014,123.00
  5. Step 5: Solve for x
    x = 59,358,014,123.00/288,715.57
  6. Step 6: Final answer
    x = 205,593.39

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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.