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Finding the Fourth Proportional to 395,681.84, 546,290.16 and 274,784.48

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Solution

The fourth proportional to 395,681.84, 546,290.16 and 274,784.48 is: 379,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,681.84 : 546,290.16 = 274,784.48 : x
  2. Step 2: Convert to fraction form
    395,681.84/546,290.16 = 274,784.48/x
  3. Step 3: Cross multiply
    395,681.84x = 546,290.16 × 274,784.48
  4. Step 4: Simplify right side
    395,681.84x = 150,112,057,544.72
  5. Step 5: Solve for x
    x = 150,112,057,544.72/395,681.84
  6. Step 6: Final answer
    x = 379,375.66

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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.