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Finding the Fourth Proportional to 295,710, 408,079.80 and 161,574

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Solution

The fourth proportional to 295,710, 408,079.80 and 161,574 is: 222,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,710 : 408,079.80 = 161,574 : x
  2. Step 2: Convert to fraction form
    295,710/408,079.80 = 161,574/x
  3. Step 3: Cross multiply
    295,710x = 408,079.80 × 161,574
  4. Step 4: Simplify right side
    295,710x = 65,935,085,605.20
  5. Step 5: Solve for x
    x = 65,935,085,605.20/295,710
  6. Step 6: Final answer
    x = 222,972.12

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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.