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Finding the Fourth Proportional to 546,919.78, 754,751.01 and 305,212.58

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Solution

The fourth proportional to 546,919.78, 754,751.01 and 305,212.58 is: 421,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,919.78 : 754,751.01 = 305,212.58 : x
  2. Step 2: Convert to fraction form
    546,919.78/754,751.01 = 305,212.58/x
  3. Step 3: Cross multiply
    546,919.78x = 754,751.01 × 305,212.58
  4. Step 4: Simplify right side
    546,919.78x = 230,359,503,019.71
  5. Step 5: Solve for x
    x = 230,359,503,019.71/546,919.78
  6. Step 6: Final answer
    x = 421,194.32

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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.