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Finding the Fourth Proportional to 230,509.91, 317,904.81 and 149,908.16

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Solution

The fourth proportional to 230,509.91, 317,904.81 and 149,908.16 is: 206,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,509.91 : 317,904.81 = 149,908.16 : x
  2. Step 2: Convert to fraction form
    230,509.91/317,904.81 = 149,908.16/x
  3. Step 3: Cross multiply
    230,509.91x = 317,904.81 × 149,908.16
  4. Step 4: Simplify right side
    230,509.91x = 47,656,525,122.25
  5. Step 5: Solve for x
    x = 47,656,525,122.25/230,509.91
  6. Step 6: Final answer
    x = 206,743.93

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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.