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Finding the Fourth Proportional to 256,000.50, 353,297.70 and 142,825.68

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Solution

The fourth proportional to 256,000.50, 353,297.70 and 142,825.68 is: 197,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.50 : 353,297.70 = 142,825.68 : x
  2. Step 2: Convert to fraction form
    256,000.50/353,297.70 = 142,825.68/x
  3. Step 3: Cross multiply
    256,000.50x = 353,297.70 × 142,825.68
  4. Step 4: Simplify right side
    256,000.50x = 50,459,984,244.94
  5. Step 5: Solve for x
    x = 50,459,984,244.94/256,000.50
  6. Step 6: Final answer
    x = 197,108.93

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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.