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Finding the Fourth Proportional to 711,024.96, 981,204 and 388,736.32

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Solution

The fourth proportional to 711,024.96, 981,204 and 388,736.32 is: 536,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,024.96 : 981,204 = 388,736.32 : x
  2. Step 2: Convert to fraction form
    711,024.96/981,204 = 388,736.32/x
  3. Step 3: Cross multiply
    711,024.96x = 981,204 × 388,736.32
  4. Step 4: Simplify right side
    711,024.96x = 381,429,632,129.28
  5. Step 5: Solve for x
    x = 381,429,632,129.28/711,024.96
  6. Step 6: Final answer
    x = 536,450.41

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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.