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Finding the Fourth Proportional to 312,690.94, 469,029.93 and 76,034.86

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Solution

The fourth proportional to 312,690.94, 469,029.93 and 76,034.86 is: 114,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,690.94 : 469,029.93 = 76,034.86 : x
  2. Step 2: Convert to fraction form
    312,690.94/469,029.93 = 76,034.86/x
  3. Step 3: Cross multiply
    312,690.94x = 469,029.93 × 76,034.86
  4. Step 4: Simplify right side
    312,690.94x = 35,662,625,792.21
  5. Step 5: Solve for x
    x = 35,662,625,792.21/312,690.94
  6. Step 6: Final answer
    x = 114,050.72

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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.