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Finding the Fourth Proportional to 288,760.72, 433,190.40 and 89,077.36

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Solution

The fourth proportional to 288,760.72, 433,190.40 and 89,077.36 is: 133,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,760.72 : 433,190.40 = 89,077.36 : x
  2. Step 2: Convert to fraction form
    288,760.72/433,190.40 = 89,077.36/x
  3. Step 3: Cross multiply
    288,760.72x = 433,190.40 × 89,077.36
  4. Step 4: Simplify right side
    288,760.72x = 38,587,457,209.34
  5. Step 5: Solve for x
    x = 38,587,457,209.34/288,760.72
  6. Step 6: Final answer
    x = 133,631.25

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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.