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Finding the Fourth Proportional to 300,382.40, 414,521.42 and 164,413.20

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Solution

The fourth proportional to 300,382.40, 414,521.42 and 164,413.20 is: 226,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,382.40 : 414,521.42 = 164,413.20 : x
  2. Step 2: Convert to fraction form
    300,382.40/414,521.42 = 164,413.20/x
  3. Step 3: Cross multiply
    300,382.40x = 414,521.42 × 164,413.20
  4. Step 4: Simplify right side
    300,382.40x = 68,152,793,130.74
  5. Step 5: Solve for x
    x = 68,152,793,130.74/300,382.40
  6. Step 6: Final answer
    x = 226,886.77

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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.