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Finding the Fourth Proportional to 471,702.12, 707,381.87 and 205,398.42

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Solution

The fourth proportional to 471,702.12, 707,381.87 and 205,398.42 is: 308,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,702.12 : 707,381.87 = 205,398.42 : x
  2. Step 2: Convert to fraction form
    471,702.12/707,381.87 = 205,398.42/x
  3. Step 3: Cross multiply
    471,702.12x = 707,381.87 × 205,398.42
  4. Step 4: Simplify right side
    471,702.12x = 145,295,117,407.65
  5. Step 5: Solve for x
    x = 145,295,117,407.65/471,702.12
  6. Step 6: Final answer
    x = 308,023.03

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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.