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Finding the Fourth Proportional to 546,957, 754,838.52 and 305,286.60

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Solution

The fourth proportional to 546,957, 754,838.52 and 305,286.60 is: 421,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,957 : 754,838.52 = 305,286.60 : x
  2. Step 2: Convert to fraction form
    546,957/754,838.52 = 305,286.60/x
  3. Step 3: Cross multiply
    546,957x = 754,838.52 × 305,286.60
  4. Step 4: Simplify right side
    546,957x = 230,442,085,319.83
  5. Step 5: Solve for x
    x = 230,442,085,319.83/546,957
  6. Step 6: Final answer
    x = 421,316.64

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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.