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Finding the Fourth Proportional to 228,301.47, 315,034.57 and 154,563.90

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Solution

The fourth proportional to 228,301.47, 315,034.57 and 154,563.90 is: 213,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,301.47 : 315,034.57 = 154,563.90 : x
  2. Step 2: Convert to fraction form
    228,301.47/315,034.57 = 154,563.90/x
  3. Step 3: Cross multiply
    228,301.47x = 315,034.57 × 154,563.90
  4. Step 4: Simplify right side
    228,301.47x = 48,692,973,631.03
  5. Step 5: Solve for x
    x = 48,692,973,631.03/228,301.47
  6. Step 6: Final answer
    x = 213,283.67

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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.