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Finding the Fourth Proportional to 471,523.88, 707,272.86 and 205,283.90

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Solution

The fourth proportional to 471,523.88, 707,272.86 and 205,283.90 is: 307,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.88 : 707,272.86 = 205,283.90 : x
  2. Step 2: Convert to fraction form
    471,523.88/707,272.86 = 205,283.90/x
  3. Step 3: Cross multiply
    471,523.88x = 707,272.86 × 205,283.90
  4. Step 4: Simplify right side
    471,523.88x = 145,191,731,064.95
  5. Step 5: Solve for x
    x = 145,191,731,064.95/471,523.88
  6. Step 6: Final answer
    x = 307,920.21

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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.