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Finding the Fourth Proportional to 288,855.54, 433,496.21 and 137,053.22

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Solution

The fourth proportional to 288,855.54, 433,496.21 and 137,053.22 is: 205,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,855.54 : 433,496.21 = 137,053.22 : x
  2. Step 2: Convert to fraction form
    288,855.54/433,496.21 = 137,053.22/x
  3. Step 3: Cross multiply
    288,855.54x = 433,496.21 × 137,053.22
  4. Step 4: Simplify right side
    288,855.54x = 59,412,048,585.55
  5. Step 5: Solve for x
    x = 59,412,048,585.55/288,855.54
  6. Step 6: Final answer
    x = 205,680.83

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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.