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Finding the Fourth Proportional to 318,583.58, 477,607.53 and 213,080.54

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Solution

The fourth proportional to 318,583.58, 477,607.53 and 213,080.54 is: 319,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,583.58 : 477,607.53 = 213,080.54 : x
  2. Step 2: Convert to fraction form
    318,583.58/477,607.53 = 213,080.54/x
  3. Step 3: Cross multiply
    318,583.58x = 477,607.53 × 213,080.54
  4. Step 4: Simplify right side
    318,583.58x = 101,768,870,400.47
  5. Step 5: Solve for x
    x = 101,768,870,400.47/318,583.58
  6. Step 6: Final answer
    x = 319,441.67

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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.