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Finding the Fourth Proportional to 657,189.88, 906,922.07 and 355,383.88

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Solution

The fourth proportional to 657,189.88, 906,922.07 and 355,383.88 is: 490,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,189.88 : 906,922.07 = 355,383.88 : x
  2. Step 2: Convert to fraction form
    657,189.88/906,922.07 = 355,383.88/x
  3. Step 3: Cross multiply
    657,189.88x = 906,922.07 × 355,383.88
  4. Step 4: Simplify right side
    657,189.88x = 322,305,484,094.23
  5. Step 5: Solve for x
    x = 322,305,484,094.23/657,189.88
  6. Step 6: Final answer
    x = 490,429.77

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1.5x scale

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.