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Finding the Fourth Proportional to 256,424.64, 384,653.37 and 98,653.10

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Solution

The fourth proportional to 256,424.64, 384,653.37 and 98,653.10 is: 147,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,424.64 : 384,653.37 = 98,653.10 : x
  2. Step 2: Convert to fraction form
    256,424.64/384,653.37 = 98,653.10/x
  3. Step 3: Cross multiply
    256,424.64x = 384,653.37 × 98,653.10
  4. Step 4: Simplify right side
    256,424.64x = 37,947,245,452.68
  5. Step 5: Solve for x
    x = 37,947,245,452.68/256,424.64
  6. Step 6: Final answer
    x = 147,985.96

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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.