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Finding the Fourth Proportional to 210,454.44, 315,698.04 and 70,212.96

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Solution

The fourth proportional to 210,454.44, 315,698.04 and 70,212.96 is: 105,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,454.44 : 315,698.04 = 70,212.96 : x
  2. Step 2: Convert to fraction form
    210,454.44/315,698.04 = 70,212.96/x
  3. Step 3: Cross multiply
    210,454.44x = 315,698.04 × 70,212.96
  4. Step 4: Simplify right side
    210,454.44x = 22,166,093,854.60
  5. Step 5: Solve for x
    x = 22,166,093,854.60/210,454.44
  6. Step 6: Final answer
    x = 105,324.90

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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.