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Finding the Fourth Proportional to 505,758.21, 758,746.67 and 269,066.49

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Solution

The fourth proportional to 505,758.21, 758,746.67 and 269,066.49 is: 403,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,758.21 : 758,746.67 = 269,066.49 : x
  2. Step 2: Convert to fraction form
    505,758.21/758,746.67 = 269,066.49/x
  3. Step 3: Cross multiply
    505,758.21x = 758,746.67 × 269,066.49
  4. Step 4: Simplify right side
    505,758.21x = 204,153,301,950.76
  5. Step 5: Solve for x
    x = 204,153,301,950.76/505,758.21
  6. Step 6: Final answer
    x = 403,657.91

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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.