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Finding the Fourth Proportional to 706,108.80, 1,059,422.40 and 285,427.20

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Solution

The fourth proportional to 706,108.80, 1,059,422.40 and 285,427.20 is: 428,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,108.80 : 1,059,422.40 = 285,427.20 : x
  2. Step 2: Convert to fraction form
    706,108.80/1,059,422.40 = 285,427.20/x
  3. Step 3: Cross multiply
    706,108.80x = 1,059,422.40 × 285,427.20
  4. Step 4: Simplify right side
    706,108.80x = 302,387,969,249.28
  5. Step 5: Solve for x
    x = 302,387,969,249.28/706,108.80
  6. Step 6: Final answer
    x = 428,245.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.