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Finding the Fourth Proportional to 514,451.82, 709,884.99 and 299,546.58

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Solution

The fourth proportional to 514,451.82, 709,884.99 and 299,546.58 is: 413,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,451.82 : 709,884.99 = 299,546.58 : x
  2. Step 2: Convert to fraction form
    514,451.82/709,884.99 = 299,546.58/x
  3. Step 3: Cross multiply
    514,451.82x = 709,884.99 × 299,546.58
  4. Step 4: Simplify right side
    514,451.82x = 212,643,620,947.83
  5. Step 5: Solve for x
    x = 212,643,620,947.83/514,451.82
  6. Step 6: Final answer
    x = 413,340.21

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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.