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Finding the Fourth Proportional to 256,162.87, 383,646.48 and 202,494.57

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Solution

The fourth proportional to 256,162.87, 383,646.48 and 202,494.57 is: 303,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,162.87 : 383,646.48 = 202,494.57 : x
  2. Step 2: Convert to fraction form
    256,162.87/383,646.48 = 202,494.57/x
  3. Step 3: Cross multiply
    256,162.87x = 383,646.48 × 202,494.57
  4. Step 4: Simplify right side
    256,162.87x = 77,686,328,999.61
  5. Step 5: Solve for x
    x = 77,686,328,999.61/256,162.87
  6. Step 6: Final answer
    x = 303,269.28

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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.