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Finding the Fourth Proportional to 543,678, 750,275.64 and 305,214

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Solution

The fourth proportional to 543,678, 750,275.64 and 305,214 is: 421,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,678 : 750,275.64 = 305,214 : x
  2. Step 2: Convert to fraction form
    543,678/750,275.64 = 305,214/x
  3. Step 3: Cross multiply
    543,678x = 750,275.64 × 305,214
  4. Step 4: Simplify right side
    543,678x = 228,994,629,186.96
  5. Step 5: Solve for x
    x = 228,994,629,186.96/543,678
  6. Step 6: Final answer
    x = 421,195.32

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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.