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Finding the Fourth Proportional to 505,491.60, 758,026.60 and 205,768.72

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Solution

The fourth proportional to 505,491.60, 758,026.60 and 205,768.72 is: 308,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,491.60 : 758,026.60 = 205,768.72 : x
  2. Step 2: Convert to fraction form
    505,491.60/758,026.60 = 205,768.72/x
  3. Step 3: Cross multiply
    505,491.60x = 758,026.60 × 205,768.72
  4. Step 4: Simplify right side
    505,491.60x = 155,978,164,798.51
  5. Step 5: Solve for x
    x = 155,978,164,798.51/505,491.60
  6. Step 6: Final answer
    x = 308,567.27

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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.