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Finding the Fourth Proportional to 228,289.22, 315,165.81 and 137,668.14

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Solution

The fourth proportional to 228,289.22, 315,165.81 and 137,668.14 is: 190,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,289.22 : 315,165.81 = 137,668.14 : x
  2. Step 2: Convert to fraction form
    228,289.22/315,165.81 = 137,668.14/x
  3. Step 3: Cross multiply
    228,289.22x = 315,165.81 × 137,668.14
  4. Step 4: Simplify right side
    228,289.22x = 43,388,290,854.29
  5. Step 5: Solve for x
    x = 43,388,290,854.29/228,289.22
  6. Step 6: Final answer
    x = 190,058.43

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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.