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Finding the Fourth Proportional to 657,141.22, 906,854.25 and 355,334.50

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Solution

The fourth proportional to 657,141.22, 906,854.25 and 355,334.50 is: 490,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,141.22 : 906,854.25 = 355,334.50 : x
  2. Step 2: Convert to fraction form
    657,141.22/906,854.25 = 355,334.50/x
  3. Step 3: Cross multiply
    657,141.22x = 906,854.25 × 355,334.50
  4. Step 4: Simplify right side
    657,141.22x = 322,236,601,496.63
  5. Step 5: Solve for x
    x = 322,236,601,496.63/657,141.22
  6. Step 6: Final answer
    x = 490,361.27

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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.