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Finding the Fourth Proportional to 456,908.20, 685,467.41 and 153,342.65

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Solution

The fourth proportional to 456,908.20, 685,467.41 and 153,342.65 is: 230,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,908.20 : 685,467.41 = 153,342.65 : x
  2. Step 2: Convert to fraction form
    456,908.20/685,467.41 = 153,342.65/x
  3. Step 3: Cross multiply
    456,908.20x = 685,467.41 × 153,342.65
  4. Step 4: Simplify right side
    456,908.20x = 105,111,387,091.79
  5. Step 5: Solve for x
    x = 105,111,387,091.79/456,908.20
  6. Step 6: Final answer
    x = 230,049.24

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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.