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Finding the Fourth Proportional to 543,674, 750,270.12 and 305,210

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Solution

The fourth proportional to 543,674, 750,270.12 and 305,210 is: 421,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,674 : 750,270.12 = 305,210 : x
  2. Step 2: Convert to fraction form
    543,674/750,270.12 = 305,210/x
  3. Step 3: Cross multiply
    543,674x = 750,270.12 × 305,210
  4. Step 4: Simplify right side
    543,674x = 228,989,943,325.20
  5. Step 5: Solve for x
    x = 228,989,943,325.20/543,674
  6. Step 6: Final answer
    x = 421,189.80

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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.