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Finding the Fourth Proportional to 657,000.42, 906,660.81 and 355,194.42

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Solution

The fourth proportional to 657,000.42, 906,660.81 and 355,194.42 is: 490,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,000.42 : 906,660.81 = 355,194.42 : x
  2. Step 2: Convert to fraction form
    657,000.42/906,660.81 = 355,194.42/x
  3. Step 3: Cross multiply
    657,000.42x = 906,660.81 × 355,194.42
  4. Step 4: Simplify right side
    657,000.42x = 322,040,860,544.68
  5. Step 5: Solve for x
    x = 322,040,860,544.68/657,000.42
  6. Step 6: Final answer
    x = 490,168.42

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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.