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Finding the Fourth Proportional to 512,959.06, 707,869.02 and 286,604.56

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Solution

The fourth proportional to 512,959.06, 707,869.02 and 286,604.56 is: 395,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,959.06 : 707,869.02 = 286,604.56 : x
  2. Step 2: Convert to fraction form
    512,959.06/707,869.02 = 286,604.56/x
  3. Step 3: Cross multiply
    512,959.06x = 707,869.02 × 286,604.56
  4. Step 4: Simplify right side
    512,959.06x = 202,878,489,014.73
  5. Step 5: Solve for x
    x = 202,878,489,014.73/512,959.06
  6. Step 6: Final answer
    x = 395,506.20

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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.