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Finding the Fourth Proportional to 711,208.26, 981,432.81 and 405,356.58

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Solution

The fourth proportional to 711,208.26, 981,432.81 and 405,356.58 is: 559,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,208.26 : 981,432.81 = 405,356.58 : x
  2. Step 2: Convert to fraction form
    711,208.26/981,432.81 = 405,356.58/x
  3. Step 3: Cross multiply
    711,208.26x = 981,432.81 × 405,356.58
  4. Step 4: Simplify right side
    711,208.26x = 397,830,247,361.39
  5. Step 5: Solve for x
    x = 397,830,247,361.39/711,208.26
  6. Step 6: Final answer
    x = 559,372.37

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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.