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Finding the Fourth Proportional to 256,507.82, 353,980.05 and 143,330.66

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Solution

The fourth proportional to 256,507.82, 353,980.05 and 143,330.66 is: 197,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,507.82 : 353,980.05 = 143,330.66 : x
  2. Step 2: Convert to fraction form
    256,507.82/353,980.05 = 143,330.66/x
  3. Step 3: Cross multiply
    256,507.82x = 353,980.05 × 143,330.66
  4. Step 4: Simplify right side
    256,507.82x = 50,736,194,193.33
  5. Step 5: Solve for x
    x = 50,736,194,193.33/256,507.82
  6. Step 6: Final answer
    x = 197,795.90

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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.