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Finding the Fourth Proportional to 405,474.93, 608,462.53 and 205,938.52

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Solution

The fourth proportional to 405,474.93, 608,462.53 and 205,938.52 is: 309,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,474.93 : 608,462.53 = 205,938.52 : x
  2. Step 2: Convert to fraction form
    405,474.93/608,462.53 = 205,938.52/x
  3. Step 3: Cross multiply
    405,474.93x = 608,462.53 × 205,938.52
  4. Step 4: Simplify right side
    405,474.93x = 125,305,872,026.06
  5. Step 5: Solve for x
    x = 125,305,872,026.06/405,474.93
  6. Step 6: Final answer
    x = 309,034.82

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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.