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Finding the Fourth Proportional to 397,457.20, 595,529.70 and 338,408.20

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Solution

The fourth proportional to 397,457.20, 595,529.70 and 338,408.20 is: 507,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,457.20 : 595,529.70 = 338,408.20 : x
  2. Step 2: Convert to fraction form
    397,457.20/595,529.70 = 338,408.20/x
  3. Step 3: Cross multiply
    397,457.20x = 595,529.70 × 338,408.20
  4. Step 4: Simplify right side
    397,457.20x = 201,532,133,823.54
  5. Step 5: Solve for x
    x = 201,532,133,823.54/397,457.20
  6. Step 6: Final answer
    x = 507,053.67

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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.