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Finding the Fourth Proportional to 509,968.40, 703,757.10 and 283,613.90

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Solution

The fourth proportional to 509,968.40, 703,757.10 and 283,613.90 is: 391,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,968.40 : 703,757.10 = 283,613.90 : x
  2. Step 2: Convert to fraction form
    509,968.40/703,757.10 = 283,613.90/x
  3. Step 3: Cross multiply
    509,968.40x = 703,757.10 × 283,613.90
  4. Step 4: Simplify right side
    509,968.40x = 199,595,295,783.69
  5. Step 5: Solve for x
    x = 199,595,295,783.69/509,968.40
  6. Step 6: Final answer
    x = 391,387.58

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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.