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Finding the Fourth Proportional to 514,043.82, 709,380.38 and 287,689.32

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Solution

The fourth proportional to 514,043.82, 709,380.38 and 287,689.32 is: 397,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,043.82 : 709,380.38 = 287,689.32 : x
  2. Step 2: Convert to fraction form
    514,043.82/709,380.38 = 287,689.32/x
  3. Step 3: Cross multiply
    514,043.82x = 709,380.38 × 287,689.32
  4. Step 4: Simplify right side
    514,043.82x = 204,081,159,862.77
  5. Step 5: Solve for x
    x = 204,081,159,862.77/514,043.82
  6. Step 6: Final answer
    x = 397,011.21

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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.