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Finding the Fourth Proportional to 405,093.52, 608,021.60 and 205,557.08

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Solution

The fourth proportional to 405,093.52, 608,021.60 and 205,557.08 is: 308,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,093.52 : 608,021.60 = 205,557.08 : x
  2. Step 2: Convert to fraction form
    405,093.52/608,021.60 = 205,557.08/x
  3. Step 3: Cross multiply
    405,093.52x = 608,021.60 × 205,557.08
  4. Step 4: Simplify right side
    405,093.52x = 124,983,144,672.93
  5. Step 5: Solve for x
    x = 124,983,144,672.93/405,093.52
  6. Step 6: Final answer
    x = 308,529.11

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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.