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Finding the Fourth Proportional to 223,978.24, 309,077.40 and 128,476

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Solution

The fourth proportional to 223,978.24, 309,077.40 and 128,476 is: 177,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978.24 : 309,077.40 = 128,476 : x
  2. Step 2: Convert to fraction form
    223,978.24/309,077.40 = 128,476/x
  3. Step 3: Cross multiply
    223,978.24x = 309,077.40 × 128,476
  4. Step 4: Simplify right side
    223,978.24x = 39,709,028,042.40
  5. Step 5: Solve for x
    x = 39,709,028,042.40/223,978.24
  6. Step 6: Final answer
    x = 177,289.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.