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Finding the Fourth Proportional to 395,907.50, 546,353.85 and 214,619.78

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Solution

The fourth proportional to 395,907.50, 546,353.85 and 214,619.78 is: 296,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,907.50 : 546,353.85 = 214,619.78 : x
  2. Step 2: Convert to fraction form
    395,907.50/546,353.85 = 214,619.78/x
  3. Step 3: Cross multiply
    395,907.50x = 546,353.85 × 214,619.78
  4. Step 4: Simplify right side
    395,907.50x = 117,258,343,089.15
  5. Step 5: Solve for x
    x = 117,258,343,089.15/395,907.50
  6. Step 6: Final answer
    x = 296,176.11

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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.