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Finding the Fourth Proportional to 653,455.82, 980,306.15 and 293,617.78

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Solution

The fourth proportional to 653,455.82, 980,306.15 and 293,617.78 is: 440,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,455.82 : 980,306.15 = 293,617.78 : x
  2. Step 2: Convert to fraction form
    653,455.82/980,306.15 = 293,617.78/x
  3. Step 3: Cross multiply
    653,455.82x = 980,306.15 × 293,617.78
  4. Step 4: Simplify right side
    653,455.82x = 287,835,311,564.49
  5. Step 5: Solve for x
    x = 287,835,311,564.49/653,455.82
  6. Step 6: Final answer
    x = 440,481.67

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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.