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Finding the Fourth Proportional to 378,362.08, 522,163.20 and 208,596

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Solution

The fourth proportional to 378,362.08, 522,163.20 and 208,596 is: 287,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,362.08 : 522,163.20 = 208,596 : x
  2. Step 2: Convert to fraction form
    378,362.08/522,163.20 = 208,596/x
  3. Step 3: Cross multiply
    378,362.08x = 522,163.20 × 208,596
  4. Step 4: Simplify right side
    378,362.08x = 108,921,154,867.20
  5. Step 5: Solve for x
    x = 108,921,154,867.20/378,362.08
  6. Step 6: Final answer
    x = 287,875.45

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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.