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Finding the Fourth Proportional to 378,054.63, 521,715.09 and 208,288.76

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Solution

The fourth proportional to 378,054.63, 521,715.09 and 208,288.76 is: 287,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,054.63 : 521,715.09 = 208,288.76 : x
  2. Step 2: Convert to fraction form
    378,054.63/521,715.09 = 208,288.76/x
  3. Step 3: Cross multiply
    378,054.63x = 521,715.09 × 208,288.76
  4. Step 4: Simplify right side
    378,054.63x = 108,667,386,560.81
  5. Step 5: Solve for x
    x = 108,667,386,560.81/378,054.63
  6. Step 6: Final answer
    x = 287,438.32

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1.5x scale

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.