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Finding the Fourth Proportional to 505,603.18, 758,218.74 and 205,921

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Solution

The fourth proportional to 505,603.18, 758,218.74 and 205,921 is: 308,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,603.18 : 758,218.74 = 205,921 : x
  2. Step 2: Convert to fraction form
    505,603.18/758,218.74 = 205,921/x
  3. Step 3: Cross multiply
    505,603.18x = 758,218.74 × 205,921
  4. Step 4: Simplify right side
    505,603.18x = 156,133,161,159.54
  5. Step 5: Solve for x
    x = 156,133,161,159.54/505,603.18
  6. Step 6: Final answer
    x = 308,805.73

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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.