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Finding the Fourth Proportional to 405,702.75, 607,832.42 and 345,932.04

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Solution

The fourth proportional to 405,702.75, 607,832.42 and 345,932.04 is: 518,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,702.75 : 607,832.42 = 345,932.04 : x
  2. Step 2: Convert to fraction form
    405,702.75/607,832.42 = 345,932.04/x
  3. Step 3: Cross multiply
    405,702.75x = 607,832.42 × 345,932.04
  4. Step 4: Simplify right side
    405,702.75x = 210,268,707,299.08
  5. Step 5: Solve for x
    x = 210,268,707,299.08/405,702.75
  6. Step 6: Final answer
    x = 518,282.68

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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.