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Finding the Fourth Proportional to 314,143.70, 470,908.35 and 126,905.30

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Solution

The fourth proportional to 314,143.70, 470,908.35 and 126,905.30 is: 190,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,143.70 : 470,908.35 = 126,905.30 : x
  2. Step 2: Convert to fraction form
    314,143.70/470,908.35 = 126,905.30/x
  3. Step 3: Cross multiply
    314,143.70x = 470,908.35 × 126,905.30
  4. Step 4: Simplify right side
    314,143.70x = 59,760,765,429.26
  5. Step 5: Solve for x
    x = 59,760,765,429.26/314,143.70
  6. Step 6: Final answer
    x = 190,233.85

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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.