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Finding the Fourth Proportional to 547,084.73, 754,975.06 and 305,365.21

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Solution

The fourth proportional to 547,084.73, 754,975.06 and 305,365.21 is: 421,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,084.73 : 754,975.06 = 305,365.21 : x
  2. Step 2: Convert to fraction form
    547,084.73/754,975.06 = 305,365.21/x
  3. Step 3: Cross multiply
    547,084.73x = 754,975.06 × 305,365.21
  4. Step 4: Simplify right side
    547,084.73x = 230,543,115,090.81
  5. Step 5: Solve for x
    x = 230,543,115,090.81/547,084.73
  6. Step 6: Final answer
    x = 421,402.94

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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.