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Finding the Fourth Proportional to 512,275.14, 706,874.49 and 285,930.18

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Solution

The fourth proportional to 512,275.14, 706,874.49 and 285,930.18 is: 394,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,275.14 : 706,874.49 = 285,930.18 : x
  2. Step 2: Convert to fraction form
    512,275.14/706,874.49 = 285,930.18/x
  3. Step 3: Cross multiply
    512,275.14x = 706,874.49 × 285,930.18
  4. Step 4: Simplify right side
    512,275.14x = 202,116,750,163.11
  5. Step 5: Solve for x
    x = 202,116,750,163.11/512,275.14
  6. Step 6: Final answer
    x = 394,547.25

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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.