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Finding the Fourth Proportional to 395,631.50, 545,971.59 and 214,344.68

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Solution

The fourth proportional to 395,631.50, 545,971.59 and 214,344.68 is: 295,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,631.50 : 545,971.59 = 214,344.68 : x
  2. Step 2: Convert to fraction form
    395,631.50/545,971.59 = 214,344.68/x
  3. Step 3: Cross multiply
    395,631.50x = 545,971.59 × 214,344.68
  4. Step 4: Simplify right side
    395,631.50x = 117,026,103,017.78
  5. Step 5: Solve for x
    x = 117,026,103,017.78/395,631.50
  6. Step 6: Final answer
    x = 295,795.72

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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.