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Finding the Fourth Proportional to 421,057.36, 630,454.27 and 320,739.67

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Solution

The fourth proportional to 421,057.36, 630,454.27 and 320,739.67 is: 480,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,057.36 : 630,454.27 = 320,739.67 : x
  2. Step 2: Convert to fraction form
    421,057.36/630,454.27 = 320,739.67/x
  3. Step 3: Cross multiply
    421,057.36x = 630,454.27 × 320,739.67
  4. Step 4: Simplify right side
    421,057.36x = 202,211,694,509.89
  5. Step 5: Solve for x
    x = 202,211,694,509.89/421,057.36
  6. Step 6: Final answer
    x = 480,247.38

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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.