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Finding the Fourth Proportional to 657,186.13, 906,916.90 and 355,380.13

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Solution

The fourth proportional to 657,186.13, 906,916.90 and 355,380.13 is: 490,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,186.13 : 906,916.90 = 355,380.13 : x
  2. Step 2: Convert to fraction form
    657,186.13/906,916.90 = 355,380.13/x
  3. Step 3: Cross multiply
    657,186.13x = 906,916.90 × 355,380.13
  4. Step 4: Simplify right side
    657,186.13x = 322,300,241,286.61
  5. Step 5: Solve for x
    x = 322,300,241,286.61/657,186.13
  6. Step 6: Final answer
    x = 490,424.60

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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.