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Finding the Fourth Proportional to 256,002.75, 353,270.88 and 142,803.63

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Solution

The fourth proportional to 256,002.75, 353,270.88 and 142,803.63 is: 197,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002.75 : 353,270.88 = 142,803.63 : x
  2. Step 2: Convert to fraction form
    256,002.75/353,270.88 = 142,803.63/x
  3. Step 3: Cross multiply
    256,002.75x = 353,270.88 × 142,803.63
  4. Step 4: Simplify right side
    256,002.75x = 50,448,364,037.29
  5. Step 5: Solve for x
    x = 50,448,364,037.29/256,002.75
  6. Step 6: Final answer
    x = 197,061.81

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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.