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Finding the Fourth Proportional to 657,055.73, 906,930.83 and 385,182.47

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Solution

The fourth proportional to 657,055.73, 906,930.83 and 385,182.47 is: 531,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,055.73 : 906,930.83 = 385,182.47 : x
  2. Step 2: Convert to fraction form
    657,055.73/906,930.83 = 385,182.47/x
  3. Step 3: Cross multiply
    657,055.73x = 906,930.83 × 385,182.47
  4. Step 4: Simplify right side
    657,055.73x = 349,333,850,757.98
  5. Step 5: Solve for x
    x = 349,333,850,757.98/657,055.73
  6. Step 6: Final answer
    x = 531,665.49

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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.