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Finding the Fourth Proportional to 657,474, 907,315.20 and 355,668

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Solution

The fourth proportional to 657,474, 907,315.20 and 355,668 is: 490,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,474 : 907,315.20 = 355,668 : x
  2. Step 2: Convert to fraction form
    657,474/907,315.20 = 355,668/x
  3. Step 3: Cross multiply
    657,474x = 907,315.20 × 355,668
  4. Step 4: Simplify right side
    657,474x = 322,702,982,553.60
  5. Step 5: Solve for x
    x = 322,702,982,553.60/657,474
  6. Step 6: Final answer
    x = 490,822.42

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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.