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Finding the Fourth Proportional to 512,847.32, 707,693.90 and 283,402.44

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Solution

The fourth proportional to 512,847.32, 707,693.90 and 283,402.44 is: 391,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,847.32 : 707,693.90 = 283,402.44 : x
  2. Step 2: Convert to fraction form
    512,847.32/707,693.90 = 283,402.44/x
  3. Step 3: Cross multiply
    512,847.32x = 707,693.90 × 283,402.44
  4. Step 4: Simplify right side
    512,847.32x = 200,562,178,033.12
  5. Step 5: Solve for x
    x = 200,562,178,033.12/512,847.32
  6. Step 6: Final answer
    x = 391,075.80

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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.