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Finding the Fourth Proportional to 256,172.20, 384,258.30 and 156,639.40

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Solution

The fourth proportional to 256,172.20, 384,258.30 and 156,639.40 is: 234,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,172.20 : 384,258.30 = 156,639.40 : x
  2. Step 2: Convert to fraction form
    256,172.20/384,258.30 = 156,639.40/x
  3. Step 3: Cross multiply
    256,172.20x = 384,258.30 × 156,639.40
  4. Step 4: Simplify right side
    256,172.20x = 60,189,989,557.02
  5. Step 5: Solve for x
    x = 60,189,989,557.02/256,172.20
  6. Step 6: Final answer
    x = 234,959.10

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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.