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Finding the Fourth Proportional to 512,735.71, 707,589.55 and 283,307.78

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Solution

The fourth proportional to 512,735.71, 707,589.55 and 283,307.78 is: 390,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,735.71 : 707,589.55 = 283,307.78 : x
  2. Step 2: Convert to fraction form
    512,735.71/707,589.55 = 283,307.78/x
  3. Step 3: Cross multiply
    512,735.71x = 707,589.55 × 283,307.78
  4. Step 4: Simplify right side
    512,735.71x = 200,465,624,561.70
  5. Step 5: Solve for x
    x = 200,465,624,561.70/512,735.71
  6. Step 6: Final answer
    x = 390,972.62

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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.