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Finding the Fourth Proportional to 256,020.66, 384,080.52 and 98,236.83

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Solution

The fourth proportional to 256,020.66, 384,080.52 and 98,236.83 is: 147,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020.66 : 384,080.52 = 98,236.83 : x
  2. Step 2: Convert to fraction form
    256,020.66/384,080.52 = 98,236.83/x
  3. Step 3: Cross multiply
    256,020.66x = 384,080.52 × 98,236.83
  4. Step 4: Simplify right side
    256,020.66x = 37,730,852,749.55
  5. Step 5: Solve for x
    x = 37,730,852,749.55/256,020.66
  6. Step 6: Final answer
    x = 147,374.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.