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Finding the Fourth Proportional to 512,536.29, 769,003.70 and 212,941.59

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Solution

The fourth proportional to 512,536.29, 769,003.70 and 212,941.59 is: 319,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,536.29 : 769,003.70 = 212,941.59 : x
  2. Step 2: Convert to fraction form
    512,536.29/769,003.70 = 212,941.59/x
  3. Step 3: Cross multiply
    512,536.29x = 769,003.70 × 212,941.59
  4. Step 4: Simplify right side
    512,536.29x = 163,752,869,529.18
  5. Step 5: Solve for x
    x = 163,752,869,529.18/512,536.29
  6. Step 6: Final answer
    x = 319,495.17

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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.