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Finding the Fourth Proportional to 256,683.74, 354,224.34 and 143,506.49

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Solution

The fourth proportional to 256,683.74, 354,224.34 and 143,506.49 is: 198,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,683.74 : 354,224.34 = 143,506.49 : x
  2. Step 2: Convert to fraction form
    256,683.74/354,224.34 = 143,506.49/x
  3. Step 3: Cross multiply
    256,683.74x = 354,224.34 × 143,506.49
  4. Step 4: Simplify right side
    256,683.74x = 50,833,489,934.84
  5. Step 5: Solve for x
    x = 50,833,489,934.84/256,683.74
  6. Step 6: Final answer
    x = 198,039.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.