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Finding the Fourth Proportional to 657,186.75, 906,917.76 and 355,380.75

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Solution

The fourth proportional to 657,186.75, 906,917.76 and 355,380.75 is: 490,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,186.75 : 906,917.76 = 355,380.75 : x
  2. Step 2: Convert to fraction form
    657,186.75/906,917.76 = 355,380.75/x
  3. Step 3: Cross multiply
    657,186.75x = 906,917.76 × 355,380.75
  4. Step 4: Simplify right side
    657,186.75x = 322,301,113,737.12
  5. Step 5: Solve for x
    x = 322,301,113,737.12/657,186.75
  6. Step 6: Final answer
    x = 490,425.46

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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.