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Finding the Fourth Proportional to 471,761.80, 707,181.90 and 421,995.40

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Solution

The fourth proportional to 471,761.80, 707,181.90 and 421,995.40 is: 632,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,761.80 : 707,181.90 = 421,995.40 : x
  2. Step 2: Convert to fraction form
    471,761.80/707,181.90 = 421,995.40/x
  3. Step 3: Cross multiply
    471,761.80x = 707,181.90 × 421,995.40
  4. Step 4: Simplify right side
    471,761.80x = 298,427,508,763.26
  5. Step 5: Solve for x
    x = 298,427,508,763.26/471,761.80
  6. Step 6: Final answer
    x = 632,580.91

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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.