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Finding the Fourth Proportional to 256,795.50, 385,368.21 and 90,583.50

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Solution

The fourth proportional to 256,795.50, 385,368.21 and 90,583.50 is: 135,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,795.50 : 385,368.21 = 90,583.50 : x
  2. Step 2: Convert to fraction form
    256,795.50/385,368.21 = 90,583.50/x
  3. Step 3: Cross multiply
    256,795.50x = 385,368.21 × 90,583.50
  4. Step 4: Simplify right side
    256,795.50x = 34,908,001,250.54
  5. Step 5: Solve for x
    x = 34,908,001,250.54/256,795.50
  6. Step 6: Final answer
    x = 135,936.97

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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.