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Finding the Fourth Proportional to 546,974.31, 754,792.79 and 305,237.91

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Solution

The fourth proportional to 546,974.31, 754,792.79 and 305,237.91 is: 421,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,974.31 : 754,792.79 = 305,237.91 : x
  2. Step 2: Convert to fraction form
    546,974.31/754,792.79 = 305,237.91/x
  3. Step 3: Cross multiply
    546,974.31x = 754,792.79 × 305,237.91
  4. Step 4: Simplify right side
    546,974.31x = 230,391,372,176.48
  5. Step 5: Solve for x
    x = 230,391,372,176.48/546,974.31
  6. Step 6: Final answer
    x = 421,210.59

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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.