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Finding the Fourth Proportional to 256,024.48, 384,118.80 and 106,336.48

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Solution

The fourth proportional to 256,024.48, 384,118.80 and 106,336.48 is: 159,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,024.48 : 384,118.80 = 106,336.48 : x
  2. Step 2: Convert to fraction form
    256,024.48/384,118.80 = 106,336.48/x
  3. Step 3: Cross multiply
    256,024.48x = 384,118.80 × 106,336.48
  4. Step 4: Simplify right side
    256,024.48x = 40,845,841,093.82
  5. Step 5: Solve for x
    x = 40,845,841,093.82/256,024.48
  6. Step 6: Final answer
    x = 159,538.81

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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.