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Finding the Fourth Proportional to 256,400.40, 384,600.60 and 172,419.60

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Solution

The fourth proportional to 256,400.40, 384,600.60 and 172,419.60 is: 258,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,400.40 : 384,600.60 = 172,419.60 : x
  2. Step 2: Convert to fraction form
    256,400.40/384,600.60 = 172,419.60/x
  3. Step 3: Cross multiply
    256,400.40x = 384,600.60 × 172,419.60
  4. Step 4: Simplify right side
    256,400.40x = 66,312,681,611.76
  5. Step 5: Solve for x
    x = 66,312,681,611.76/256,400.40
  6. Step 6: Final answer
    x = 258,629.40

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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.