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Finding the Fourth Proportional to 657,131.72, 906,841.14 and 355,325

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Solution

The fourth proportional to 657,131.72, 906,841.14 and 355,325 is: 490,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,131.72 : 906,841.14 = 355,325 : x
  2. Step 2: Convert to fraction form
    657,131.72/906,841.14 = 355,325/x
  3. Step 3: Cross multiply
    657,131.72x = 906,841.14 × 355,325
  4. Step 4: Simplify right side
    657,131.72x = 322,223,328,070.50
  5. Step 5: Solve for x
    x = 322,223,328,070.50/657,131.72
  6. Step 6: Final answer
    x = 490,348.16

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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.