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Finding the Fourth Proportional to 471,022.77, 707,961.58 and 311,642.31

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Solution

The fourth proportional to 471,022.77, 707,961.58 and 311,642.31 is: 468,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,022.77 : 707,961.58 = 311,642.31 : x
  2. Step 2: Convert to fraction form
    471,022.77/707,961.58 = 311,642.31/x
  3. Step 3: Cross multiply
    471,022.77x = 707,961.58 × 311,642.31
  4. Step 4: Simplify right side
    471,022.77x = 220,630,781,403.34
  5. Step 5: Solve for x
    x = 220,630,781,403.34/471,022.77
  6. Step 6: Final answer
    x = 468,407.89

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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.