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Finding the Fourth Proportional to 210,469.42, 315,706.86 and 70,228.04

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Solution

The fourth proportional to 210,469.42, 315,706.86 and 70,228.04 is: 105,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,469.42 : 315,706.86 = 70,228.04 : x
  2. Step 2: Convert to fraction form
    210,469.42/315,706.86 = 70,228.04/x
  3. Step 3: Cross multiply
    210,469.42x = 315,706.86 × 70,228.04
  4. Step 4: Simplify right side
    210,469.42x = 22,171,473,992.35
  5. Step 5: Solve for x
    x = 22,171,473,992.35/210,469.42
  6. Step 6: Final answer
    x = 105,342.97

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1.5x scale

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.