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Finding the Fourth Proportional to 657,536, 907,406.24 and 355,736.48

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Solution

The fourth proportional to 657,536, 907,406.24 and 355,736.48 is: 490,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,536 : 907,406.24 = 355,736.48 : x
  2. Step 2: Convert to fraction form
    657,536/907,406.24 = 355,736.48/x
  3. Step 3: Cross multiply
    657,536x = 907,406.24 × 355,736.48
  4. Step 4: Simplify right side
    657,536x = 322,797,501,747.64
  5. Step 5: Solve for x
    x = 322,797,501,747.64/657,536
  6. Step 6: Final answer
    x = 490,919.89

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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.