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Finding the Fourth Proportional to 657,722, 907,657.17 and 355,916

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Solution

The fourth proportional to 657,722, 907,657.17 and 355,916 is: 491,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,722 : 907,657.17 = 355,916 : x
  2. Step 2: Convert to fraction form
    657,722/907,657.17 = 355,916/x
  3. Step 3: Cross multiply
    657,722x = 907,657.17 × 355,916
  4. Step 4: Simplify right side
    657,722x = 323,049,709,317.72
  5. Step 5: Solve for x
    x = 323,049,709,317.72/657,722
  6. Step 6: Final answer
    x = 491,164.52

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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.