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Finding the Fourth Proportional to 657,767.82, 907,722.27 and 355,961.82

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Solution

The fourth proportional to 657,767.82, 907,722.27 and 355,961.82 is: 491,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,767.82 : 907,722.27 = 355,961.82 : x
  2. Step 2: Convert to fraction form
    657,767.82/907,722.27 = 355,961.82/x
  3. Step 3: Cross multiply
    657,767.82x = 907,722.27 × 355,961.82
  4. Step 4: Simplify right side
    657,767.82x = 323,114,471,283.73
  5. Step 5: Solve for x
    x = 323,114,471,283.73/657,767.82
  6. Step 6: Final answer
    x = 491,228.76

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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.