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Finding the Fourth Proportional to 505,256.51, 757,226.64 and 205,386.82

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Solution

The fourth proportional to 505,256.51, 757,226.64 and 205,386.82 is: 307,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,256.51 : 757,226.64 = 205,386.82 : x
  2. Step 2: Convert to fraction form
    505,256.51/757,226.64 = 205,386.82/x
  3. Step 3: Cross multiply
    505,256.51x = 757,226.64 × 205,386.82
  4. Step 4: Simplify right side
    505,256.51x = 155,524,370,486.02
  5. Step 5: Solve for x
    x = 155,524,370,486.02/505,256.51
  6. Step 6: Final answer
    x = 307,812.70

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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.