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Finding the Fourth Proportional to 432,655.51, 649,044.78 and 133,161.05

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Solution

The fourth proportional to 432,655.51, 649,044.78 and 133,161.05 is: 199,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,655.51 : 649,044.78 = 133,161.05 : x
  2. Step 2: Convert to fraction form
    432,655.51/649,044.78 = 133,161.05/x
  3. Step 3: Cross multiply
    432,655.51x = 649,044.78 × 133,161.05
  4. Step 4: Simplify right side
    432,655.51x = 86,427,484,401.82
  5. Step 5: Solve for x
    x = 86,427,484,401.82/432,655.51
  6. Step 6: Final answer
    x = 199,760.51

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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.