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Finding the Fourth Proportional to 256,669.56, 384,856.56 and 98,877.48

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Solution

The fourth proportional to 256,669.56, 384,856.56 and 98,877.48 is: 148,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,669.56 : 384,856.56 = 98,877.48 : x
  2. Step 2: Convert to fraction form
    256,669.56/384,856.56 = 98,877.48/x
  3. Step 3: Cross multiply
    256,669.56x = 384,856.56 × 98,877.48
  4. Step 4: Simplify right side
    256,669.56x = 38,053,646,814.27
  5. Step 5: Solve for x
    x = 38,053,646,814.27/256,669.56
  6. Step 6: Final answer
    x = 148,259.29

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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.