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Finding the Fourth Proportional to 657,027.40, 906,698.82 and 355,221.32

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Solution

The fourth proportional to 657,027.40, 906,698.82 and 355,221.32 is: 490,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,027.40 : 906,698.82 = 355,221.32 : x
  2. Step 2: Convert to fraction form
    657,027.40/906,698.82 = 355,221.32/x
  3. Step 3: Cross multiply
    657,027.40x = 906,698.82 × 355,221.32
  4. Step 4: Simplify right side
    657,027.40x = 322,078,751,682.84
  5. Step 5: Solve for x
    x = 322,078,751,682.84/657,027.40
  6. Step 6: Final answer
    x = 490,205.97

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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.