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Finding the Fourth Proportional to 256,029.42, 353,313.26 and 142,849.74

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Solution

The fourth proportional to 256,029.42, 353,313.26 and 142,849.74 is: 197,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,029.42 : 353,313.26 = 142,849.74 : x
  2. Step 2: Convert to fraction form
    256,029.42/353,313.26 = 142,849.74/x
  3. Step 3: Cross multiply
    256,029.42x = 353,313.26 × 142,849.74
  4. Step 4: Simplify right side
    256,029.42x = 50,470,707,329.55
  5. Step 5: Solve for x
    x = 50,470,707,329.55/256,029.42
  6. Step 6: Final answer
    x = 197,128.55

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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.