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Finding the Fourth Proportional to 256,631.68, 353,976 and 167,328.64

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Solution

The fourth proportional to 256,631.68, 353,976 and 167,328.64 is: 230,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,631.68 : 353,976 = 167,328.64 : x
  2. Step 2: Convert to fraction form
    256,631.68/353,976 = 167,328.64/x
  3. Step 3: Cross multiply
    256,631.68x = 353,976 × 167,328.64
  4. Step 4: Simplify right side
    256,631.68x = 59,230,322,672.64
  5. Step 5: Solve for x
    x = 59,230,322,672.64/256,631.68
  6. Step 6: Final answer
    x = 230,798.95

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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.