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Finding the Fourth Proportional to 256,246.40, 384,369.60 and 90,051.20

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Solution

The fourth proportional to 256,246.40, 384,369.60 and 90,051.20 is: 135,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,246.40 : 384,369.60 = 90,051.20 : x
  2. Step 2: Convert to fraction form
    256,246.40/384,369.60 = 90,051.20/x
  3. Step 3: Cross multiply
    256,246.40x = 384,369.60 × 90,051.20
  4. Step 4: Simplify right side
    256,246.40x = 34,612,943,723.52
  5. Step 5: Solve for x
    x = 34,612,943,723.52/256,246.40
  6. Step 6: Final answer
    x = 135,076.80

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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.