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Finding the Fourth Proportional to 407,718.40, 611,869.20 and 171,230.80

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Solution

The fourth proportional to 407,718.40, 611,869.20 and 171,230.80 is: 256,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,718.40 : 611,869.20 = 171,230.80 : x
  2. Step 2: Convert to fraction form
    407,718.40/611,869.20 = 171,230.80/x
  3. Step 3: Cross multiply
    407,718.40x = 611,869.20 × 171,230.80
  4. Step 4: Simplify right side
    407,718.40x = 104,770,852,611.36
  5. Step 5: Solve for x
    x = 104,770,852,611.36/407,718.40
  6. Step 6: Final answer
    x = 256,968.66

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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.