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Finding the Fourth Proportional to 408,071.60, 611,888.70 and 171,146.60

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Solution

The fourth proportional to 408,071.60, 611,888.70 and 171,146.60 is: 256,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,071.60 : 611,888.70 = 171,146.60 : x
  2. Step 2: Convert to fraction form
    408,071.60/611,888.70 = 171,146.60/x
  3. Step 3: Cross multiply
    408,071.60x = 611,888.70 × 171,146.60
  4. Step 4: Simplify right side
    408,071.60x = 104,722,670,583.42
  5. Step 5: Solve for x
    x = 104,722,670,583.42/408,071.60
  6. Step 6: Final answer
    x = 256,628.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.