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Finding the Fourth Proportional to 295,492, 407,778.96 and 161,356

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Solution

The fourth proportional to 295,492, 407,778.96 and 161,356 is: 222,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,492 : 407,778.96 = 161,356 : x
  2. Step 2: Convert to fraction form
    295,492/407,778.96 = 161,356/x
  3. Step 3: Cross multiply
    295,492x = 407,778.96 × 161,356
  4. Step 4: Simplify right side
    295,492x = 65,797,581,869.76
  5. Step 5: Solve for x
    x = 65,797,581,869.76/295,492
  6. Step 6: Final answer
    x = 222,671.28

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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.