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Finding the Fourth Proportional to 342,388.10, 472,509.50 and 189,423.65

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Solution

The fourth proportional to 342,388.10, 472,509.50 and 189,423.65 is: 261,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,388.10 : 472,509.50 = 189,423.65 : x
  2. Step 2: Convert to fraction form
    342,388.10/472,509.50 = 189,423.65/x
  3. Step 3: Cross multiply
    342,388.10x = 472,509.50 × 189,423.65
  4. Step 4: Simplify right side
    342,388.10x = 89,504,470,840.01
  5. Step 5: Solve for x
    x = 89,504,470,840.01/342,388.10
  6. Step 6: Final answer
    x = 261,412.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.