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Finding the Fourth Proportional to 219,886, 329,805.24 and 149,261.20

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Solution

The fourth proportional to 219,886, 329,805.24 and 149,261.20 is: 223,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,886 : 329,805.24 = 149,261.20 : x
  2. Step 2: Convert to fraction form
    219,886/329,805.24 = 149,261.20/x
  3. Step 3: Cross multiply
    219,886x = 329,805.24 × 149,261.20
  4. Step 4: Simplify right side
    219,886x = 49,227,125,888.69
  5. Step 5: Solve for x
    x = 49,227,125,888.69/219,886
  6. Step 6: Final answer
    x = 223,875.67

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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.