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Finding the Fourth Proportional to 657,805.48, 907,745.94 and 412,921.96

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Solution

The fourth proportional to 657,805.48, 907,745.94 and 412,921.96 is: 569,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,805.48 : 907,745.94 = 412,921.96 : x
  2. Step 2: Convert to fraction form
    657,805.48/907,745.94 = 412,921.96/x
  3. Step 3: Cross multiply
    657,805.48x = 907,745.94 × 412,921.96
  4. Step 4: Simplify right side
    657,805.48x = 374,828,232,726.84
  5. Step 5: Solve for x
    x = 374,828,232,726.84/657,805.48
  6. Step 6: Final answer
    x = 569,816.22

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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.