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Finding the Fourth Proportional to 256,959, 354,599.14 and 142,235.19

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Solution

The fourth proportional to 256,959, 354,599.14 and 142,235.19 is: 196,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,959 : 354,599.14 = 142,235.19 : x
  2. Step 2: Convert to fraction form
    256,959/354,599.14 = 142,235.19/x
  3. Step 3: Cross multiply
    256,959x = 354,599.14 × 142,235.19
  4. Step 4: Simplify right side
    256,959x = 50,436,476,051.74
  5. Step 5: Solve for x
    x = 50,436,476,051.74/256,959
  6. Step 6: Final answer
    x = 196,282.19

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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.