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Finding the Fourth Proportional to 295,920, 408,376.08 and 161,784

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Solution

The fourth proportional to 295,920, 408,376.08 and 161,784 is: 223,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,920 : 408,376.08 = 161,784 : x
  2. Step 2: Convert to fraction form
    295,920/408,376.08 = 161,784/x
  3. Step 3: Cross multiply
    295,920x = 408,376.08 × 161,784
  4. Step 4: Simplify right side
    295,920x = 66,068,715,726.72
  5. Step 5: Solve for x
    x = 66,068,715,726.72/295,920
  6. Step 6: Final answer
    x = 223,265.46

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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.