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Finding the Fourth Proportional to 514,393.92, 709,844.04 and 288,028.08

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Solution

The fourth proportional to 514,393.92, 709,844.04 and 288,028.08 is: 397,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,393.92 : 709,844.04 = 288,028.08 : x
  2. Step 2: Convert to fraction form
    514,393.92/709,844.04 = 288,028.08/x
  3. Step 3: Cross multiply
    514,393.92x = 709,844.04 × 288,028.08
  4. Step 4: Simplify right side
    514,393.92x = 204,455,015,940.64
  5. Step 5: Solve for x
    x = 204,455,015,940.64/514,393.92
  6. Step 6: Final answer
    x = 397,467.79

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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.