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Finding the Fourth Proportional to 657,200.33, 906,936.07 and 355,394.33

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Solution

The fourth proportional to 657,200.33, 906,936.07 and 355,394.33 is: 490,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,200.33 : 906,936.07 = 355,394.33 : x
  2. Step 2: Convert to fraction form
    657,200.33/906,936.07 = 355,394.33/x
  3. Step 3: Cross multiply
    657,200.33x = 906,936.07 × 355,394.33
  4. Step 4: Simplify right side
    657,200.33x = 322,319,934,683.14
  5. Step 5: Solve for x
    x = 322,319,934,683.14/657,200.33
  6. Step 6: Final answer
    x = 490,443.97

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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.