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Finding the Fourth Proportional to 219,152.40, 328,145.40 and 139,837.20

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Solution

The fourth proportional to 219,152.40, 328,145.40 and 139,837.20 is: 209,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,152.40 : 328,145.40 = 139,837.20 : x
  2. Step 2: Convert to fraction form
    219,152.40/328,145.40 = 139,837.20/x
  3. Step 3: Cross multiply
    219,152.40x = 328,145.40 × 139,837.20
  4. Step 4: Simplify right side
    219,152.40x = 45,886,933,928.88
  5. Step 5: Solve for x
    x = 45,886,933,928.88/219,152.40
  6. Step 6: Final answer
    x = 209,383.67

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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.