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Finding the Fourth Proportional to 512,884.37, 707,743.35 and 283,438.91

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Solution

The fourth proportional to 512,884.37, 707,743.35 and 283,438.91 is: 391,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,884.37 : 707,743.35 = 283,438.91 : x
  2. Step 2: Convert to fraction form
    512,884.37/707,743.35 = 283,438.91/x
  3. Step 3: Cross multiply
    512,884.37x = 707,743.35 × 283,438.91
  4. Step 4: Simplify right side
    512,884.37x = 200,602,003,683.75
  5. Step 5: Solve for x
    x = 200,602,003,683.75/512,884.37
  6. Step 6: Final answer
    x = 391,125.20

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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.