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Finding the Fourth Proportional to 256,165.42, 384,266.56 and 98,393.88

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Solution

The fourth proportional to 256,165.42, 384,266.56 and 98,393.88 is: 147,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,165.42 : 384,266.56 = 98,393.88 : x
  2. Step 2: Convert to fraction form
    256,165.42/384,266.56 = 98,393.88/x
  3. Step 3: Cross multiply
    256,165.42x = 384,266.56 × 98,393.88
  4. Step 4: Simplify right side
    256,165.42x = 37,809,477,792.65
  5. Step 5: Solve for x
    x = 37,809,477,792.65/256,165.42
  6. Step 6: Final answer
    x = 147,597.90

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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.