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Finding the Fourth Proportional to 407,712.40, 611,860.20 and 171,224.80

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Solution

The fourth proportional to 407,712.40, 611,860.20 and 171,224.80 is: 256,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.40 : 611,860.20 = 171,224.80 : x
  2. Step 2: Convert to fraction form
    407,712.40/611,860.20 = 171,224.80/x
  3. Step 3: Cross multiply
    407,712.40x = 611,860.20 × 171,224.80
  4. Step 4: Simplify right side
    407,712.40x = 104,765,640,372.96
  5. Step 5: Solve for x
    x = 104,765,640,372.96/407,712.40
  6. Step 6: Final answer
    x = 256,959.66

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1.5x scale

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.