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Finding the Fourth Proportional to 256,408.65, 384,497.78 and 98,584.65

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Solution

The fourth proportional to 256,408.65, 384,497.78 and 98,584.65 is: 147,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,408.65 : 384,497.78 = 98,584.65 : x
  2. Step 2: Convert to fraction form
    256,408.65/384,497.78 = 98,584.65/x
  3. Step 3: Cross multiply
    256,408.65x = 384,497.78 × 98,584.65
  4. Step 4: Simplify right side
    256,408.65x = 37,905,578,574.15
  5. Step 5: Solve for x
    x = 37,905,578,574.15/256,408.65
  6. Step 6: Final answer
    x = 147,832.68

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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.