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Finding the Fourth Proportional to 657,721, 907,655.79 and 355,915

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Solution

The fourth proportional to 657,721, 907,655.79 and 355,915 is: 491,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,721 : 907,655.79 = 355,915 : x
  2. Step 2: Convert to fraction form
    657,721/907,655.79 = 355,915/x
  3. Step 3: Cross multiply
    657,721x = 907,655.79 × 355,915
  4. Step 4: Simplify right side
    657,721x = 323,048,310,497.85
  5. Step 5: Solve for x
    x = 323,048,310,497.85/657,721
  6. Step 6: Final answer
    x = 491,163.14

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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.