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Finding the Fourth Proportional to 313,451.78, 432,632.34 and 206,031.80

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Solution

The fourth proportional to 313,451.78, 432,632.34 and 206,031.80 is: 284,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,451.78 : 432,632.34 = 206,031.80 : x
  2. Step 2: Convert to fraction form
    313,451.78/432,632.34 = 206,031.80/x
  3. Step 3: Cross multiply
    313,451.78x = 432,632.34 × 206,031.80
  4. Step 4: Simplify right side
    313,451.78x = 89,136,020,829.99
  5. Step 5: Solve for x
    x = 89,136,020,829.99/313,451.78
  6. Step 6: Final answer
    x = 284,369.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.