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Finding the Fourth Proportional to 657,142.73, 906,940.11 and 381,441.63

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Solution

The fourth proportional to 657,142.73, 906,940.11 and 381,441.63 is: 526,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,142.73 : 906,940.11 = 381,441.63 : x
  2. Step 2: Convert to fraction form
    657,142.73/906,940.11 = 381,441.63/x
  3. Step 3: Cross multiply
    657,142.73x = 906,940.11 × 381,441.63
  4. Step 4: Simplify right side
    657,142.73x = 345,944,713,870.78
  5. Step 5: Solve for x
    x = 345,944,713,870.78/657,142.73
  6. Step 6: Final answer
    x = 526,437.71

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Double scale
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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.