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Finding the Fourth Proportional to 256,051.46, 353,350.74 and 142,874.22

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Solution

The fourth proportional to 256,051.46, 353,350.74 and 142,874.22 is: 197,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,051.46 : 353,350.74 = 142,874.22 : x
  2. Step 2: Convert to fraction form
    256,051.46/353,350.74 = 142,874.22/x
  3. Step 3: Cross multiply
    256,051.46x = 353,350.74 × 142,874.22
  4. Step 4: Simplify right side
    256,051.46x = 50,484,711,363.92
  5. Step 5: Solve for x
    x = 50,484,711,363.92/256,051.46
  6. Step 6: Final answer
    x = 197,166.27

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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.