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Finding the Fourth Proportional to 471,930.40, 707,895.60 and 440,437.60

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Solution

The fourth proportional to 471,930.40, 707,895.60 and 440,437.60 is: 660,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,930.40 : 707,895.60 = 440,437.60 : x
  2. Step 2: Convert to fraction form
    471,930.40/707,895.60 = 440,437.60/x
  3. Step 3: Cross multiply
    471,930.40x = 707,895.60 × 440,437.60
  4. Step 4: Simplify right side
    471,930.40x = 311,783,839,114.56
  5. Step 5: Solve for x
    x = 311,783,839,114.56/471,930.40
  6. Step 6: Final answer
    x = 660,656.40

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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.