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Finding the Fourth Proportional to 256,088.69, 353,418.74 and 142,911.44

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Solution

The fourth proportional to 256,088.69, 353,418.74 and 142,911.44 is: 197,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,088.69 : 353,418.74 = 142,911.44 : x
  2. Step 2: Convert to fraction form
    256,088.69/353,418.74 = 142,911.44/x
  3. Step 3: Cross multiply
    256,088.69x = 353,418.74 × 142,911.44
  4. Step 4: Simplify right side
    256,088.69x = 50,507,581,239.85
  5. Step 5: Solve for x
    x = 50,507,581,239.85/256,088.69
  6. Step 6: Final answer
    x = 197,226.91

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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.