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Finding the Fourth Proportional to 256,926.87, 354,559.64 and 142,213.32

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Solution

The fourth proportional to 256,926.87, 354,559.64 and 142,213.32 is: 196,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,926.87 : 354,559.64 = 142,213.32 : x
  2. Step 2: Convert to fraction form
    256,926.87/354,559.64 = 142,213.32/x
  3. Step 3: Cross multiply
    256,926.87x = 354,559.64 × 142,213.32
  4. Step 4: Simplify right side
    256,926.87x = 50,423,102,831.34
  5. Step 5: Solve for x
    x = 50,423,102,831.34/256,926.87
  6. Step 6: Final answer
    x = 196,254.69

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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.