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Finding the Fourth Proportional to 456,912.93, 630,457.38 and 263,285.67

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Solution

The fourth proportional to 456,912.93, 630,457.38 and 263,285.67 is: 363,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,912.93 : 630,457.38 = 263,285.67 : x
  2. Step 2: Convert to fraction form
    456,912.93/630,457.38 = 263,285.67/x
  3. Step 3: Cross multiply
    456,912.93x = 630,457.38 × 263,285.67
  4. Step 4: Simplify right side
    456,912.93x = 165,990,393,699.75
  5. Step 5: Solve for x
    x = 165,990,393,699.75/456,912.93
  6. Step 6: Final answer
    x = 363,286.71

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1.5x scale

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.