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Finding the Fourth Proportional to 512,988.78, 769,521.86 and 153,131.22

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Solution

The fourth proportional to 512,988.78, 769,521.86 and 153,131.22 is: 229,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,988.78 : 769,521.86 = 153,131.22 : x
  2. Step 2: Convert to fraction form
    512,988.78/769,521.86 = 153,131.22/x
  3. Step 3: Cross multiply
    512,988.78x = 769,521.86 × 153,131.22
  4. Step 4: Simplify right side
    512,988.78x = 117,837,821,238.47
  5. Step 5: Solve for x
    x = 117,837,821,238.47/512,988.78
  6. Step 6: Final answer
    x = 229,708.38

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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.