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Finding the Fourth Proportional to 543,683, 750,282.54 and 305,219

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Solution

The fourth proportional to 543,683, 750,282.54 and 305,219 is: 421,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,683 : 750,282.54 = 305,219 : x
  2. Step 2: Convert to fraction form
    543,683/750,282.54 = 305,219/x
  3. Step 3: Cross multiply
    543,683x = 750,282.54 × 305,219
  4. Step 4: Simplify right side
    543,683x = 229,000,486,576.26
  5. Step 5: Solve for x
    x = 229,000,486,576.26/543,683
  6. Step 6: Final answer
    x = 421,202.22

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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.