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Finding the Fourth Proportional to 288,797.40, 433,269.09 and 233,143.20

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Solution

The fourth proportional to 288,797.40, 433,269.09 and 233,143.20 is: 349,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,797.40 : 433,269.09 = 233,143.20 : x
  2. Step 2: Convert to fraction form
    288,797.40/433,269.09 = 233,143.20/x
  3. Step 3: Cross multiply
    288,797.40x = 433,269.09 × 233,143.20
  4. Step 4: Simplify right side
    288,797.40x = 101,013,742,103.69
  5. Step 5: Solve for x
    x = 101,013,742,103.69/288,797.40
  6. Step 6: Final answer
    x = 349,773.72

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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.