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Finding the Fourth Proportional to 219,884, 329,802.24 and 149,259.20

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Solution

The fourth proportional to 219,884, 329,802.24 and 149,259.20 is: 223,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,884 : 329,802.24 = 149,259.20 : x
  2. Step 2: Convert to fraction form
    219,884/329,802.24 = 149,259.20/x
  3. Step 3: Cross multiply
    219,884x = 329,802.24 × 149,259.20
  4. Step 4: Simplify right side
    219,884x = 49,226,018,500.61
  5. Step 5: Solve for x
    x = 49,226,018,500.61/219,884
  6. Step 6: Final answer
    x = 223,872.67

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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.