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Finding the Fourth Proportional to 657,538, 907,409 and 355,738.48

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Solution

The fourth proportional to 657,538, 907,409 and 355,738.48 is: 490,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,538 : 907,409 = 355,738.48 : x
  2. Step 2: Convert to fraction form
    657,538/907,409 = 355,738.48/x
  3. Step 3: Cross multiply
    657,538x = 907,409 × 355,738.48
  4. Step 4: Simplify right side
    657,538x = 322,800,298,398.32
  5. Step 5: Solve for x
    x = 322,800,298,398.32/657,538
  6. Step 6: Final answer
    x = 490,922.65

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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.