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Finding the Fourth Proportional to 256,516.80, 384,969.60 and 167,740.80

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Solution

The fourth proportional to 256,516.80, 384,969.60 and 167,740.80 is: 251,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,516.80 : 384,969.60 = 167,740.80 : x
  2. Step 2: Convert to fraction form
    256,516.80/384,969.60 = 167,740.80/x
  3. Step 3: Cross multiply
    256,516.80x = 384,969.60 × 167,740.80
  4. Step 4: Simplify right side
    256,516.80x = 64,575,108,679.68
  5. Step 5: Solve for x
    x = 64,575,108,679.68/256,516.80
  6. Step 6: Final answer
    x = 251,738.32

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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.