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Finding the Fourth Proportional to 511,970.91, 706,494.20 and 285,572.67

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Solution

The fourth proportional to 511,970.91, 706,494.20 and 285,572.67 is: 394,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,970.91 : 706,494.20 = 285,572.67 : x
  2. Step 2: Convert to fraction form
    511,970.91/706,494.20 = 285,572.67/x
  3. Step 3: Cross multiply
    511,970.91x = 706,494.20 × 285,572.67
  4. Step 4: Simplify right side
    511,970.91x = 201,755,433,605.65
  5. Step 5: Solve for x
    x = 201,755,433,605.65/511,970.91
  6. Step 6: Final answer
    x = 394,075.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.