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Finding the Fourth Proportional to 378,667.47, 522,561.08 and 208,901.60

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Solution

The fourth proportional to 378,667.47, 522,561.08 and 208,901.60 is: 288,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,667.47 : 522,561.08 = 208,901.60 : x
  2. Step 2: Convert to fraction form
    378,667.47/522,561.08 = 208,901.60/x
  3. Step 3: Cross multiply
    378,667.47x = 522,561.08 × 208,901.60
  4. Step 4: Simplify right side
    378,667.47x = 109,163,845,709.73
  5. Step 5: Solve for x
    x = 109,163,845,709.73/378,667.47
  6. Step 6: Final answer
    x = 288,284.19

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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.