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Finding the Fourth Proportional to 395,722.50, 546,842.26 and 300,051.78

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Solution

The fourth proportional to 395,722.50, 546,842.26 and 300,051.78 is: 414,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,722.50 : 546,842.26 = 300,051.78 : x
  2. Step 2: Convert to fraction form
    395,722.50/546,842.26 = 300,051.78/x
  3. Step 3: Cross multiply
    395,722.50x = 546,842.26 × 300,051.78
  4. Step 4: Simplify right side
    395,722.50x = 164,080,993,492.22
  5. Step 5: Solve for x
    x = 164,080,993,492.22/395,722.50
  6. Step 6: Final answer
    x = 414,636.50

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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.