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Finding the Fourth Proportional to 546,930.31, 754,673.54 and 305,212.30

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Solution

The fourth proportional to 546,930.31, 754,673.54 and 305,212.30 is: 421,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,930.31 : 754,673.54 = 305,212.30 : x
  2. Step 2: Convert to fraction form
    546,930.31/754,673.54 = 305,212.30/x
  3. Step 3: Cross multiply
    546,930.31x = 754,673.54 × 305,212.30
  4. Step 4: Simplify right side
    546,930.31x = 230,335,645,768.89
  5. Step 5: Solve for x
    x = 230,335,645,768.89/546,930.31
  6. Step 6: Final answer
    x = 421,142.59

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1.5x scale

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.