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Finding the Fourth Proportional to 512,898, 707,786.28 and 286,545.12

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Solution

The fourth proportional to 512,898, 707,786.28 and 286,545.12 is: 395,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,898 : 707,786.28 = 286,545.12 : x
  2. Step 2: Convert to fraction form
    512,898/707,786.28 = 286,545.12/x
  3. Step 3: Cross multiply
    512,898x = 707,786.28 × 286,545.12
  4. Step 4: Simplify right side
    512,898x = 202,812,704,536.95
  5. Step 5: Solve for x
    x = 202,812,704,536.95/512,898
  6. Step 6: Final answer
    x = 395,425.03

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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.