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Finding the Fourth Proportional to 512,722.27, 707,496.40 and 283,265.88

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Solution

The fourth proportional to 512,722.27, 707,496.40 and 283,265.88 is: 390,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,722.27 : 707,496.40 = 283,265.88 : x
  2. Step 2: Convert to fraction form
    512,722.27/707,496.40 = 283,265.88/x
  3. Step 3: Cross multiply
    512,722.27x = 707,496.40 × 283,265.88
  4. Step 4: Simplify right side
    512,722.27x = 200,409,590,342.83
  5. Step 5: Solve for x
    x = 200,409,590,342.83/512,722.27
  6. Step 6: Final answer
    x = 390,873.58

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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.