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Finding the Fourth Proportional to 256,874.29, 354,477.80 and 142,157.79

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Solution

The fourth proportional to 256,874.29, 354,477.80 and 142,157.79 is: 196,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,874.29 : 354,477.80 = 142,157.79 : x
  2. Step 2: Convert to fraction form
    256,874.29/354,477.80 = 142,157.79/x
  3. Step 3: Cross multiply
    256,874.29x = 354,477.80 × 142,157.79
  4. Step 4: Simplify right side
    256,874.29x = 50,391,781,007.46
  5. Step 5: Solve for x
    x = 50,391,781,007.46/256,874.29
  6. Step 6: Final answer
    x = 196,172.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.