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Finding the Fourth Proportional to 657,030.97, 906,704.10 and 355,224.97

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Solution

The fourth proportional to 657,030.97, 906,704.10 and 355,224.97 is: 490,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,030.97 : 906,704.10 = 355,224.97 : x
  2. Step 2: Convert to fraction form
    657,030.97/906,704.10 = 355,224.97/x
  3. Step 3: Cross multiply
    657,030.97x = 906,704.10 × 355,224.97
  4. Step 4: Simplify right side
    657,030.97x = 322,083,932,187.86
  5. Step 5: Solve for x
    x = 322,083,932,187.86/657,030.97
  6. Step 6: Final answer
    x = 490,211.19

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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.