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Finding the Fourth Proportional to 256,363.68, 384,683.58 and 106,707.36

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Solution

The fourth proportional to 256,363.68, 384,683.58 and 106,707.36 is: 160,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,363.68 : 384,683.58 = 106,707.36 : x
  2. Step 2: Convert to fraction form
    256,363.68/384,683.58 = 106,707.36/x
  3. Step 3: Cross multiply
    256,363.68x = 384,683.58 × 106,707.36
  4. Step 4: Simplify right side
    256,363.68x = 41,048,569,257.15
  5. Step 5: Solve for x
    x = 41,048,569,257.15/256,363.68
  6. Step 6: Final answer
    x = 160,118.51

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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.