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Finding the Fourth Proportional to 395,696.12, 546,048.78 and 225,897.08

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Solution

The fourth proportional to 395,696.12, 546,048.78 and 225,897.08 is: 311,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,696.12 : 546,048.78 = 225,897.08 : x
  2. Step 2: Convert to fraction form
    395,696.12/546,048.78 = 225,897.08/x
  3. Step 3: Cross multiply
    395,696.12x = 546,048.78 × 225,897.08
  4. Step 4: Simplify right side
    395,696.12x = 123,350,824,939.56
  5. Step 5: Solve for x
    x = 123,350,824,939.56/395,696.12
  6. Step 6: Final answer
    x = 311,731.20

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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.