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Finding the Fourth Proportional to 546,844.16, 754,644 and 305,112

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Solution

The fourth proportional to 546,844.16, 754,644 and 305,112 is: 421,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,844.16 : 754,644 = 305,112 : x
  2. Step 2: Convert to fraction form
    546,844.16/754,644 = 305,112/x
  3. Step 3: Cross multiply
    546,844.16x = 754,644 × 305,112
  4. Step 4: Simplify right side
    546,844.16x = 230,250,940,128
  5. Step 5: Solve for x
    x = 230,250,940,128/546,844.16
  6. Step 6: Final answer
    x = 421,054.04

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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.