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Finding the Fourth Proportional to 288,378.45, 397,973.59 and 165,870.61

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Solution

The fourth proportional to 288,378.45, 397,973.59 and 165,870.61 is: 228,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,378.45 : 397,973.59 = 165,870.61 : x
  2. Step 2: Convert to fraction form
    288,378.45/397,973.59 = 165,870.61/x
  3. Step 3: Cross multiply
    288,378.45x = 397,973.59 × 165,870.61
  4. Step 4: Simplify right side
    288,378.45x = 66,012,120,727.58
  5. Step 5: Solve for x
    x = 66,012,120,727.58/288,378.45
  6. Step 6: Final answer
    x = 228,907.95

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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.