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Finding the Fourth Proportional to 514,046.32, 709,383.82 and 287,691.82

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Solution

The fourth proportional to 514,046.32, 709,383.82 and 287,691.82 is: 397,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,046.32 : 709,383.82 = 287,691.82 : x
  2. Step 2: Convert to fraction form
    514,046.32/709,383.82 = 287,691.82/x
  3. Step 3: Cross multiply
    514,046.32x = 709,383.82 × 287,691.82
  4. Step 4: Simplify right side
    514,046.32x = 204,083,922,254.35
  5. Step 5: Solve for x
    x = 204,083,922,254.35/514,046.32
  6. Step 6: Final answer
    x = 397,014.65

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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.