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Finding the Fourth Proportional to 256,683.22, 385,090.43 and 98,869.30

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Solution

The fourth proportional to 256,683.22, 385,090.43 and 98,869.30 is: 148,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,683.22 : 385,090.43 = 98,869.30 : x
  2. Step 2: Convert to fraction form
    256,683.22/385,090.43 = 98,869.30/x
  3. Step 3: Cross multiply
    256,683.22x = 385,090.43 × 98,869.30
  4. Step 4: Simplify right side
    256,683.22x = 38,073,621,250.80
  5. Step 5: Solve for x
    x = 38,073,621,250.80/256,683.22
  6. Step 6: Final answer
    x = 148,329.22

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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.