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Finding the Fourth Proportional to 512,823.81, 707,693 and 283,396.58

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Solution

The fourth proportional to 512,823.81, 707,693 and 283,396.58 is: 391,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,823.81 : 707,693 = 283,396.58 : x
  2. Step 2: Convert to fraction form
    512,823.81/707,693 = 283,396.58/x
  3. Step 3: Cross multiply
    512,823.81x = 707,693 × 283,396.58
  4. Step 4: Simplify right side
    512,823.81x = 200,557,772,351.48
  5. Step 5: Solve for x
    x = 200,557,772,351.48/512,823.81
  6. Step 6: Final answer
    x = 391,085.14

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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.