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Finding the Fourth Proportional to 281,902.38, 389,025 and 154,580.10

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Solution

The fourth proportional to 281,902.38, 389,025 and 154,580.10 is: 213,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,902.38 : 389,025 = 154,580.10 : x
  2. Step 2: Convert to fraction form
    281,902.38/389,025 = 154,580.10/x
  3. Step 3: Cross multiply
    281,902.38x = 389,025 × 154,580.10
  4. Step 4: Simplify right side
    281,902.38x = 60,135,523,402.50
  5. Step 5: Solve for x
    x = 60,135,523,402.50/281,902.38
  6. Step 6: Final answer
    x = 213,320.38

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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.