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Finding the Fourth Proportional to 259,536, 357,835.23 and 216,577.29

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Solution

The fourth proportional to 259,536, 357,835.23 and 216,577.29 is: 298,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,536 : 357,835.23 = 216,577.29 : x
  2. Step 2: Convert to fraction form
    259,536/357,835.23 = 216,577.29/x
  3. Step 3: Cross multiply
    259,536x = 357,835.23 × 216,577.29
  4. Step 4: Simplify right side
    259,536x = 77,498,984,379.93
  5. Step 5: Solve for x
    x = 77,498,984,379.93/259,536
  6. Step 6: Final answer
    x = 298,605.91

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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.