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Finding the Fourth Proportional to 256,540.20, 384,810.30 and 106,730.70

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Solution

The fourth proportional to 256,540.20, 384,810.30 and 106,730.70 is: 160,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,540.20 : 384,810.30 = 106,730.70 : x
  2. Step 2: Convert to fraction form
    256,540.20/384,810.30 = 106,730.70/x
  3. Step 3: Cross multiply
    256,540.20x = 384,810.30 × 106,730.70
  4. Step 4: Simplify right side
    256,540.20x = 41,071,072,686.21
  5. Step 5: Solve for x
    x = 41,071,072,686.21/256,540.20
  6. Step 6: Final answer
    x = 160,096.05

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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.