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Finding the Fourth Proportional to 297,516.98, 410,470.80 and 190,149.86

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Solution

The fourth proportional to 297,516.98, 410,470.80 and 190,149.86 is: 262,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,516.98 : 410,470.80 = 190,149.86 : x
  2. Step 2: Convert to fraction form
    297,516.98/410,470.80 = 190,149.86/x
  3. Step 3: Cross multiply
    297,516.98x = 410,470.80 × 190,149.86
  4. Step 4: Simplify right side
    297,516.98x = 78,050,965,154.09
  5. Step 5: Solve for x
    x = 78,050,965,154.09/297,516.98
  6. Step 6: Final answer
    x = 262,341.21

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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.