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Finding the Fourth Proportional to 657,163.80, 906,886.13 and 355,357.80

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Solution

The fourth proportional to 657,163.80, 906,886.13 and 355,357.80 is: 490,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,163.80 : 906,886.13 = 355,357.80 : x
  2. Step 2: Convert to fraction form
    657,163.80/906,886.13 = 355,357.80/x
  3. Step 3: Cross multiply
    657,163.80x = 906,886.13 × 355,357.80
  4. Step 4: Simplify right side
    657,163.80x = 322,269,058,230.53
  5. Step 5: Solve for x
    x = 322,269,058,230.53/657,163.80
  6. Step 6: Final answer
    x = 490,393.81

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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.