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Finding the Fourth Proportional to 512,884.62, 707,743.71 and 283,439.16

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Solution

The fourth proportional to 512,884.62, 707,743.71 and 283,439.16 is: 391,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,884.62 : 707,743.71 = 283,439.16 : x
  2. Step 2: Convert to fraction form
    512,884.62/707,743.71 = 283,439.16/x
  3. Step 3: Cross multiply
    512,884.62x = 707,743.71 × 283,439.16
  4. Step 4: Simplify right side
    512,884.62x = 200,602,282,657.68
  5. Step 5: Solve for x
    x = 200,602,282,657.68/512,884.62
  6. Step 6: Final answer
    x = 391,125.56

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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.