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Finding the Fourth Proportional to 711,234.16, 981,520.23 and 405,304

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Solution

The fourth proportional to 711,234.16, 981,520.23 and 405,304 is: 559,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,234.16 : 981,520.23 = 405,304 : x
  2. Step 2: Convert to fraction form
    711,234.16/981,520.23 = 405,304/x
  3. Step 3: Cross multiply
    711,234.16x = 981,520.23 × 405,304
  4. Step 4: Simplify right side
    711,234.16x = 397,814,075,299.92
  5. Step 5: Solve for x
    x = 397,814,075,299.92/711,234.16
  6. Step 6: Final answer
    x = 559,329.26

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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.