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Finding the Fourth Proportional to 657,032.82, 906,705.19 and 355,226.82

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Solution

The fourth proportional to 657,032.82, 906,705.19 and 355,226.82 is: 490,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,032.82 : 906,705.19 = 355,226.82 : x
  2. Step 2: Convert to fraction form
    657,032.82/906,705.19 = 355,226.82/x
  3. Step 3: Cross multiply
    657,032.82x = 906,705.19 × 355,226.82
  4. Step 4: Simplify right side
    657,032.82x = 322,085,998,365.09
  5. Step 5: Solve for x
    x = 322,085,998,365.09/657,032.82
  6. Step 6: Final answer
    x = 490,212.95

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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.