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Finding the Fourth Proportional to 657,858.24, 907,843.95 and 356,052.24

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Solution

The fourth proportional to 657,858.24, 907,843.95 and 356,052.24 is: 491,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,858.24 : 907,843.95 = 356,052.24 : x
  2. Step 2: Convert to fraction form
    657,858.24/907,843.95 = 356,052.24/x
  3. Step 3: Cross multiply
    657,858.24x = 907,843.95 × 356,052.24
  4. Step 4: Simplify right side
    657,858.24x = 323,239,871,967.95
  5. Step 5: Solve for x
    x = 323,239,871,967.95/657,858.24
  6. Step 6: Final answer
    x = 491,351.86

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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.