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Finding the Fourth Proportional to 407,713.40, 611,861.70 and 171,225.80

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Solution

The fourth proportional to 407,713.40, 611,861.70 and 171,225.80 is: 256,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.40 : 611,861.70 = 171,225.80 : x
  2. Step 2: Convert to fraction form
    407,713.40/611,861.70 = 171,225.80/x
  3. Step 3: Cross multiply
    407,713.40x = 611,861.70 × 171,225.80
  4. Step 4: Simplify right side
    407,713.40x = 104,766,509,071.86
  5. Step 5: Solve for x
    x = 104,766,509,071.86/407,713.40
  6. Step 6: Final answer
    x = 256,961.16

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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.