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Finding the Fourth Proportional to 395,466, 545,743.20 and 225,696.48

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Solution

The fourth proportional to 395,466, 545,743.20 and 225,696.48 is: 311,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,466 : 545,743.20 = 225,696.48 : x
  2. Step 2: Convert to fraction form
    395,466/545,743.20 = 225,696.48/x
  3. Step 3: Cross multiply
    395,466x = 545,743.20 × 225,696.48
  4. Step 4: Simplify right side
    395,466x = 123,172,319,223.94
  5. Step 5: Solve for x
    x = 123,172,319,223.94/395,466
  6. Step 6: Final answer
    x = 311,461.21

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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.