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Finding the Fourth Proportional to 289,568.51, 433,761.46 and 149,031.89

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Solution

The fourth proportional to 289,568.51, 433,761.46 and 149,031.89 is: 223,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,568.51 : 433,761.46 = 149,031.89 : x
  2. Step 2: Convert to fraction form
    289,568.51/433,761.46 = 149,031.89/x
  3. Step 3: Cross multiply
    289,568.51x = 433,761.46 × 149,031.89
  4. Step 4: Simplify right side
    289,568.51x = 64,644,290,192.96
  5. Step 5: Solve for x
    x = 64,644,290,192.96/289,568.51
  6. Step 6: Final answer
    x = 223,243.51

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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.