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Finding the Fourth Proportional to 312,631.81, 469,575.46 and 186,518.46

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Solution

The fourth proportional to 312,631.81, 469,575.46 and 186,518.46 is: 280,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,631.81 : 469,575.46 = 186,518.46 : x
  2. Step 2: Convert to fraction form
    312,631.81/469,575.46 = 186,518.46/x
  3. Step 3: Cross multiply
    312,631.81x = 469,575.46 × 186,518.46
  4. Step 4: Simplify right side
    312,631.81x = 87,584,491,652.99
  5. Step 5: Solve for x
    x = 87,584,491,652.99/312,631.81
  6. Step 6: Final answer
    x = 280,152.21

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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.