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Finding the Fourth Proportional to 657,791.37, 907,750.31 and 355,985.37

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Solution

The fourth proportional to 657,791.37, 907,750.31 and 355,985.37 is: 491,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,791.37 : 907,750.31 = 355,985.37 : x
  2. Step 2: Convert to fraction form
    657,791.37/907,750.31 = 355,985.37/x
  3. Step 3: Cross multiply
    657,791.37x = 907,750.31 × 355,985.37
  4. Step 4: Simplify right side
    657,791.37x = 323,145,828,193.04
  5. Step 5: Solve for x
    x = 323,145,828,193.04/657,791.37
  6. Step 6: Final answer
    x = 491,258.84

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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.