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Finding the Fourth Proportional to 225,653.88, 311,405.77 and 123,678.53

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Solution

The fourth proportional to 225,653.88, 311,405.77 and 123,678.53 is: 170,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,653.88 : 311,405.77 = 123,678.53 : x
  2. Step 2: Convert to fraction form
    225,653.88/311,405.77 = 123,678.53/x
  3. Step 3: Cross multiply
    225,653.88x = 311,405.77 × 123,678.53
  4. Step 4: Simplify right side
    225,653.88x = 38,514,207,168.66
  5. Step 5: Solve for x
    x = 38,514,207,168.66/225,653.88
  6. Step 6: Final answer
    x = 170,678.24

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1.5x scale

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.