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Finding the Fourth Proportional to 256,395.86, 384,731.50 and 106,739.46

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Solution

The fourth proportional to 256,395.86, 384,731.50 and 106,739.46 is: 160,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.86 : 384,731.50 = 106,739.46 : x
  2. Step 2: Convert to fraction form
    256,395.86/384,731.50 = 106,739.46/x
  3. Step 3: Cross multiply
    256,395.86x = 384,731.50 × 106,739.46
  4. Step 4: Simplify right side
    256,395.86x = 41,066,032,554.99
  5. Step 5: Solve for x
    x = 41,066,032,554.99/256,395.86
  6. Step 6: Final answer
    x = 160,166.52

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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.