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Finding the Fourth Proportional to 405,229.16, 607,300.41 and 315,380.37

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Solution

The fourth proportional to 405,229.16, 607,300.41 and 315,380.37 is: 472,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,229.16 : 607,300.41 = 315,380.37 : x
  2. Step 2: Convert to fraction form
    405,229.16/607,300.41 = 315,380.37/x
  3. Step 3: Cross multiply
    405,229.16x = 607,300.41 × 315,380.37
  4. Step 4: Simplify right side
    405,229.16x = 191,530,626,488.70
  5. Step 5: Solve for x
    x = 191,530,626,488.70/405,229.16
  6. Step 6: Final answer
    x = 472,647.69

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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.