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Finding the Fourth Proportional to 258,413.49, 356,612.22 and 149,515.47

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Solution

The fourth proportional to 258,413.49, 356,612.22 and 149,515.47 is: 206,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,413.49 : 356,612.22 = 149,515.47 : x
  2. Step 2: Convert to fraction form
    258,413.49/356,612.22 = 149,515.47/x
  3. Step 3: Cross multiply
    258,413.49x = 356,612.22 × 149,515.47
  4. Step 4: Simplify right side
    258,413.49x = 53,319,043,681.04
  5. Step 5: Solve for x
    x = 53,319,043,681.04/258,413.49
  6. Step 6: Final answer
    x = 206,332.28

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1.5x scale

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.