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Finding the Fourth Proportional to 256,667.56, 384,853.56 and 98,875.48

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Solution

The fourth proportional to 256,667.56, 384,853.56 and 98,875.48 is: 148,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,667.56 : 384,853.56 = 98,875.48 : x
  2. Step 2: Convert to fraction form
    256,667.56/384,853.56 = 98,875.48/x
  3. Step 3: Cross multiply
    256,667.56x = 384,853.56 × 98,875.48
  4. Step 4: Simplify right side
    256,667.56x = 38,052,580,474.71
  5. Step 5: Solve for x
    x = 38,052,580,474.71/256,667.56
  6. Step 6: Final answer
    x = 148,256.29

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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.