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Finding the Fourth Proportional to 706,675, 975,211.50 and 405,043.96

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Solution

The fourth proportional to 706,675, 975,211.50 and 405,043.96 is: 558,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,675 : 975,211.50 = 405,043.96 : x
  2. Step 2: Convert to fraction form
    706,675/975,211.50 = 405,043.96/x
  3. Step 3: Cross multiply
    706,675x = 975,211.50 × 405,043.96
  4. Step 4: Simplify right side
    706,675x = 395,003,527,797.54
  5. Step 5: Solve for x
    x = 395,003,527,797.54/706,675
  6. Step 6: Final answer
    x = 558,960.66

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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.