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Finding the Fourth Proportional to 378,065.64, 521,730.60 and 208,298.28

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Solution

The fourth proportional to 378,065.64, 521,730.60 and 208,298.28 is: 287,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,065.64 : 521,730.60 = 208,298.28 : x
  2. Step 2: Convert to fraction form
    378,065.64/521,730.60 = 208,298.28/x
  3. Step 3: Cross multiply
    378,065.64x = 521,730.60 × 208,298.28
  4. Step 4: Simplify right side
    378,065.64x = 108,675,586,603.37
  5. Step 5: Solve for x
    x = 108,675,586,603.37/378,065.64
  6. Step 6: Final answer
    x = 287,451.64

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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.