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Finding the Fourth Proportional to 353,046.30, 487,315.35 and 225,722.40

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Solution

The fourth proportional to 353,046.30, 487,315.35 and 225,722.40 is: 311,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,046.30 : 487,315.35 = 225,722.40 : x
  2. Step 2: Convert to fraction form
    353,046.30/487,315.35 = 225,722.40/x
  3. Step 3: Cross multiply
    353,046.30x = 487,315.35 × 225,722.40
  4. Step 4: Simplify right side
    353,046.30x = 109,997,990,358.84
  5. Step 5: Solve for x
    x = 109,997,990,358.84/353,046.30
  6. Step 6: Final answer
    x = 311,568.17

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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.