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Finding the Fourth Proportional to 288,713.76, 433,128.21 and 89,025.48

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Solution

The fourth proportional to 288,713.76, 433,128.21 and 89,025.48 is: 133,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,713.76 : 433,128.21 = 89,025.48 : x
  2. Step 2: Convert to fraction form
    288,713.76/433,128.21 = 89,025.48/x
  3. Step 3: Cross multiply
    288,713.76x = 433,128.21 × 89,025.48
  4. Step 4: Simplify right side
    288,713.76x = 38,559,444,186.02
  5. Step 5: Solve for x
    x = 38,559,444,186.02/288,713.76
  6. Step 6: Final answer
    x = 133,555.96

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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.