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Finding the Fourth Proportional to 225,411.04, 311,167.74 and 148,976.20

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Solution

The fourth proportional to 225,411.04, 311,167.74 and 148,976.20 is: 205,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,411.04 : 311,167.74 = 148,976.20 : x
  2. Step 2: Convert to fraction form
    225,411.04/311,167.74 = 148,976.20/x
  3. Step 3: Cross multiply
    225,411.04x = 311,167.74 × 148,976.20
  4. Step 4: Simplify right side
    225,411.04x = 46,356,587,467.79
  5. Step 5: Solve for x
    x = 46,356,587,467.79/225,411.04
  6. Step 6: Final answer
    x = 205,653.58

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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.