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Finding the Fourth Proportional to 505,978.62, 759,667.77 and 256,835.58

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Solution

The fourth proportional to 505,978.62, 759,667.77 and 256,835.58 is: 385,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,978.62 : 759,667.77 = 256,835.58 : x
  2. Step 2: Convert to fraction form
    505,978.62/759,667.77 = 256,835.58/x
  3. Step 3: Cross multiply
    505,978.62x = 759,667.77 × 256,835.58
  4. Step 4: Simplify right side
    505,978.62x = 195,109,712,315.26
  5. Step 5: Solve for x
    x = 195,109,712,315.26/505,978.62
  6. Step 6: Final answer
    x = 385,608.61

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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.