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Finding the Fourth Proportional to 512,352.60, 707,017.26 and 286,012.44

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Solution

The fourth proportional to 512,352.60, 707,017.26 and 286,012.44 is: 394,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,352.60 : 707,017.26 = 286,012.44 : x
  2. Step 2: Convert to fraction form
    512,352.60/707,017.26 = 286,012.44/x
  3. Step 3: Cross multiply
    512,352.60x = 707,017.26 × 286,012.44
  4. Step 4: Simplify right side
    512,352.60x = 202,215,731,654.71
  5. Step 5: Solve for x
    x = 202,215,731,654.71/512,352.60
  6. Step 6: Final answer
    x = 394,680.80

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1.5x scale

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.