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Finding the Fourth Proportional to 657,161.93, 906,883.55 and 355,355.93

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Solution

The fourth proportional to 657,161.93, 906,883.55 and 355,355.93 is: 490,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,161.93 : 906,883.55 = 355,355.93 : x
  2. Step 2: Convert to fraction form
    657,161.93/906,883.55 = 355,355.93/x
  3. Step 3: Cross multiply
    657,161.93x = 906,883.55 × 355,355.93
  4. Step 4: Simplify right side
    657,161.93x = 322,266,441,000.75
  5. Step 5: Solve for x
    x = 322,266,441,000.75/657,161.93
  6. Step 6: Final answer
    x = 490,391.22

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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.