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Finding the Fourth Proportional to 405,704.63, 607,835.22 and 345,933.92

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Solution

The fourth proportional to 405,704.63, 607,835.22 and 345,933.92 is: 518,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,704.63 : 607,835.22 = 345,933.92 : x
  2. Step 2: Convert to fraction form
    405,704.63/607,835.22 = 345,933.92/x
  3. Step 3: Cross multiply
    405,704.63x = 607,835.22 × 345,933.92
  4. Step 4: Simplify right side
    405,704.63x = 210,270,817,329.49
  5. Step 5: Solve for x
    x = 210,270,817,329.49/405,704.63
  6. Step 6: Final answer
    x = 518,285.48

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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.