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Finding the Fourth Proportional to 318,898.64, 477,462.12 and 160,647.28

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Solution

The fourth proportional to 318,898.64, 477,462.12 and 160,647.28 is: 240,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,898.64 : 477,462.12 = 160,647.28 : x
  2. Step 2: Convert to fraction form
    318,898.64/477,462.12 = 160,647.28/x
  3. Step 3: Cross multiply
    318,898.64x = 477,462.12 × 160,647.28
  4. Step 4: Simplify right side
    318,898.64x = 76,702,990,881.03
  5. Step 5: Solve for x
    x = 76,702,990,881.03/318,898.64
  6. Step 6: Final answer
    x = 240,524.67

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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.