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Finding the Fourth Proportional to 657,865.46, 907,803.65 and 371,413.82

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Solution

The fourth proportional to 657,865.46, 907,803.65 and 371,413.82 is: 512,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,865.46 : 907,803.65 = 371,413.82 : x
  2. Step 2: Convert to fraction form
    657,865.46/907,803.65 = 371,413.82/x
  3. Step 3: Cross multiply
    657,865.46x = 907,803.65 × 371,413.82
  4. Step 4: Simplify right side
    657,865.46x = 337,170,821,456.44
  5. Step 5: Solve for x
    x = 337,170,821,456.44/657,865.46
  6. Step 6: Final answer
    x = 512,522.46

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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.