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Finding the Fourth Proportional to 657,825.12, 907,797.12 and 356,019.36

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Solution

The fourth proportional to 657,825.12, 907,797.12 and 356,019.36 is: 491,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,825.12 : 907,797.12 = 356,019.36 : x
  2. Step 2: Convert to fraction form
    657,825.12/907,797.12 = 356,019.36/x
  3. Step 3: Cross multiply
    657,825.12x = 907,797.12 × 356,019.36
  4. Step 4: Simplify right side
    657,825.12x = 323,193,349,672.24
  5. Step 5: Solve for x
    x = 323,193,349,672.24/657,825.12
  6. Step 6: Final answer
    x = 491,305.88

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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.