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Finding the Fourth Proportional to 290,986.98, 436,498.92 and 91,315.24

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Solution

The fourth proportional to 290,986.98, 436,498.92 and 91,315.24 is: 136,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,986.98 : 436,498.92 = 91,315.24 : x
  2. Step 2: Convert to fraction form
    290,986.98/436,498.92 = 91,315.24/x
  3. Step 3: Cross multiply
    290,986.98x = 436,498.92 × 91,315.24
  4. Step 4: Simplify right side
    290,986.98x = 39,859,003,639.54
  5. Step 5: Solve for x
    x = 39,859,003,639.54/290,986.98
  6. Step 6: Final answer
    x = 136,978.65

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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.