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Finding the Fourth Proportional to 405,744.38, 608,657.12 and 139,469.84

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Solution

The fourth proportional to 405,744.38, 608,657.12 and 139,469.84 is: 209,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,744.38 : 608,657.12 = 139,469.84 : x
  2. Step 2: Convert to fraction form
    405,744.38/608,657.12 = 139,469.84/x
  3. Step 3: Cross multiply
    405,744.38x = 608,657.12 × 139,469.84
  4. Step 4: Simplify right side
    405,744.38x = 84,889,307,400.63
  5. Step 5: Solve for x
    x = 84,889,307,400.63/405,744.38
  6. Step 6: Final answer
    x = 209,218.69

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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.