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Finding the Fourth Proportional to 705,381.62, 973,486.68 and 399,512.42

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Solution

The fourth proportional to 705,381.62, 973,486.68 and 399,512.42 is: 551,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,381.62 : 973,486.68 = 399,512.42 : x
  2. Step 2: Convert to fraction form
    705,381.62/973,486.68 = 399,512.42/x
  3. Step 3: Cross multiply
    705,381.62x = 973,486.68 × 399,512.42
  4. Step 4: Simplify right side
    705,381.62x = 388,920,012,499.57
  5. Step 5: Solve for x
    x = 388,920,012,499.57/705,381.62
  6. Step 6: Final answer
    x = 551,361.14

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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.