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Finding the Fourth Proportional to 256,429.04, 384,659.94 and 98,657.49

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Solution

The fourth proportional to 256,429.04, 384,659.94 and 98,657.49 is: 147,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,429.04 : 384,659.94 = 98,657.49 : x
  2. Step 2: Convert to fraction form
    256,429.04/384,659.94 = 98,657.49/x
  3. Step 3: Cross multiply
    256,429.04x = 384,659.94 × 98,657.49
  4. Step 4: Simplify right side
    256,429.04x = 37,949,585,996.39
  5. Step 5: Solve for x
    x = 37,949,585,996.39/256,429.04
  6. Step 6: Final answer
    x = 147,992.55

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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.