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Finding the Fourth Proportional to 657,863.31, 907,601.25 and 412,744.20

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Solution

The fourth proportional to 657,863.31, 907,601.25 and 412,744.20 is: 569,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,863.31 : 907,601.25 = 412,744.20 : x
  2. Step 2: Convert to fraction form
    657,863.31/907,601.25 = 412,744.20/x
  3. Step 3: Cross multiply
    657,863.31x = 907,601.25 × 412,744.20
  4. Step 4: Simplify right side
    657,863.31x = 374,607,151,850.25
  5. Step 5: Solve for x
    x = 374,607,151,850.25/657,863.31
  6. Step 6: Final answer
    x = 569,430.07

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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.