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Finding the Fourth Proportional to 256,302.60, 384,424.72 and 69,299.52

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Solution

The fourth proportional to 256,302.60, 384,424.72 and 69,299.52 is: 103,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.60 : 384,424.72 = 69,299.52 : x
  2. Step 2: Convert to fraction form
    256,302.60/384,424.72 = 69,299.52/x
  3. Step 3: Cross multiply
    256,302.60x = 384,424.72 × 69,299.52
  4. Step 4: Simplify right side
    256,302.60x = 26,640,448,572.13
  5. Step 5: Solve for x
    x = 26,640,448,572.13/256,302.60
  6. Step 6: Final answer
    x = 103,941.39

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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.