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Finding the Fourth Proportional to 256,881, 354,487.74 and 142,152.72

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Solution

The fourth proportional to 256,881, 354,487.74 and 142,152.72 is: 196,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,881 : 354,487.74 = 142,152.72 : x
  2. Step 2: Convert to fraction form
    256,881/354,487.74 = 142,152.72/x
  3. Step 3: Cross multiply
    256,881x = 354,487.74 × 142,152.72
  4. Step 4: Simplify right side
    256,881x = 50,391,396,447.65
  5. Step 5: Solve for x
    x = 50,391,396,447.65/256,881
  6. Step 6: Final answer
    x = 196,166.30

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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.