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Finding the Fourth Proportional to 312,656.20, 468,984.48 and 219,577.48

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Solution

The fourth proportional to 312,656.20, 468,984.48 and 219,577.48 is: 329,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,656.20 : 468,984.48 = 219,577.48 : x
  2. Step 2: Convert to fraction form
    312,656.20/468,984.48 = 219,577.48/x
  3. Step 3: Cross multiply
    312,656.20x = 468,984.48 × 219,577.48
  4. Step 4: Simplify right side
    312,656.20x = 102,978,426,834.70
  5. Step 5: Solve for x
    x = 102,978,426,834.70/312,656.20
  6. Step 6: Final answer
    x = 329,366.34

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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.