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Finding the Fourth Proportional to 657,133.72, 906,843.90 and 355,327

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Solution

The fourth proportional to 657,133.72, 906,843.90 and 355,327 is: 490,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,133.72 : 906,843.90 = 355,327 : x
  2. Step 2: Convert to fraction form
    657,133.72/906,843.90 = 355,327/x
  3. Step 3: Cross multiply
    657,133.72x = 906,843.90 × 355,327
  4. Step 4: Simplify right side
    657,133.72x = 322,226,122,455.30
  5. Step 5: Solve for x
    x = 322,226,122,455.30/657,133.72
  6. Step 6: Final answer
    x = 490,350.92

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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.