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Finding the Fourth Proportional to 256,792.94, 354,384.70 and 142,069.60

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Solution

The fourth proportional to 256,792.94, 354,384.70 and 142,069.60 is: 196,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,792.94 : 354,384.70 = 142,069.60 : x
  2. Step 2: Convert to fraction form
    256,792.94/354,384.70 = 142,069.60/x
  3. Step 3: Cross multiply
    256,792.94x = 354,384.70 × 142,069.60
  4. Step 4: Simplify right side
    256,792.94x = 50,347,292,575.12
  5. Step 5: Solve for x
    x = 50,347,292,575.12/256,792.94
  6. Step 6: Final answer
    x = 196,061.83

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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.