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Finding the Fourth Proportional to 256,402.40, 384,486.65 and 106,553.41

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Solution

The fourth proportional to 256,402.40, 384,486.65 and 106,553.41 is: 159,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,402.40 : 384,486.65 = 106,553.41 : x
  2. Step 2: Convert to fraction form
    256,402.40/384,486.65 = 106,553.41/x
  3. Step 3: Cross multiply
    256,402.40x = 384,486.65 × 106,553.41
  4. Step 4: Simplify right side
    256,402.40x = 40,968,362,562.57
  5. Step 5: Solve for x
    x = 40,968,362,562.57/256,402.40
  6. Step 6: Final answer
    x = 159,781.51

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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.