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Finding the Fourth Proportional to 289,358.75, 433,513.24 and 213,644.81

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Solution

The fourth proportional to 289,358.75, 433,513.24 and 213,644.81 is: 320,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,358.75 : 433,513.24 = 213,644.81 : x
  2. Step 2: Convert to fraction form
    289,358.75/433,513.24 = 213,644.81/x
  3. Step 3: Cross multiply
    289,358.75x = 433,513.24 × 213,644.81
  4. Step 4: Simplify right side
    289,358.75x = 92,617,854,341.96
  5. Step 5: Solve for x
    x = 92,617,854,341.96/289,358.75
  6. Step 6: Final answer
    x = 320,079.67

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1.5x scale

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.