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Finding the Fourth Proportional to 657,361.44, 907,413.84 and 385,668

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Solution

The fourth proportional to 657,361.44, 907,413.84 and 385,668 is: 532,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,361.44 : 907,413.84 = 385,668 : x
  2. Step 2: Convert to fraction form
    657,361.44/907,413.84 = 385,668/x
  3. Step 3: Cross multiply
    657,361.44x = 907,413.84 × 385,668
  4. Step 4: Simplify right side
    657,361.44x = 349,960,480,845.12
  5. Step 5: Solve for x
    x = 349,960,480,845.12/657,361.44
  6. Step 6: Final answer
    x = 532,371.48

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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.