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Finding the Fourth Proportional to 353,506, 487,757.46 and 200,507.62

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Solution

The fourth proportional to 353,506, 487,757.46 and 200,507.62 is: 276,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,506 : 487,757.46 = 200,507.62 : x
  2. Step 2: Convert to fraction form
    353,506/487,757.46 = 200,507.62/x
  3. Step 3: Cross multiply
    353,506x = 487,757.46 × 200,507.62
  4. Step 4: Simplify right side
    353,506x = 97,799,087,441.85
  5. Step 5: Solve for x
    x = 97,799,087,441.85/353,506
  6. Step 6: Final answer
    x = 276,654.67

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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.