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Finding the Fourth Proportional to 657,140.31, 906,853.61 and 355,334.31

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Solution

The fourth proportional to 657,140.31, 906,853.61 and 355,334.31 is: 490,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,140.31 : 906,853.61 = 355,334.31 : x
  2. Step 2: Convert to fraction form
    657,140.31/906,853.61 = 355,334.31/x
  3. Step 3: Cross multiply
    657,140.31x = 906,853.61 × 355,334.31
  4. Step 4: Simplify right side
    657,140.31x = 322,236,200,003.69
  5. Step 5: Solve for x
    x = 322,236,200,003.69/657,140.31
  6. Step 6: Final answer
    x = 490,361.34

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Similar ratio
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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.