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Finding the Fourth Proportional to 514,046.82, 709,384.52 and 287,692.32

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Solution

The fourth proportional to 514,046.82, 709,384.52 and 287,692.32 is: 397,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,046.82 : 709,384.52 = 287,692.32 : x
  2. Step 2: Convert to fraction form
    514,046.82/709,384.52 = 287,692.32/x
  3. Step 3: Cross multiply
    514,046.82x = 709,384.52 × 287,692.32
  4. Step 4: Simplify right side
    514,046.82x = 204,084,476,892.43
  5. Step 5: Solve for x
    x = 204,084,476,892.43/514,046.82
  6. Step 6: Final answer
    x = 397,015.35

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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.