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Finding the Fourth Proportional to 395,528.94, 545,828.58 and 214,240.50

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Solution

The fourth proportional to 395,528.94, 545,828.58 and 214,240.50 is: 295,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,528.94 : 545,828.58 = 214,240.50 : x
  2. Step 2: Convert to fraction form
    395,528.94/545,828.58 = 214,240.50/x
  3. Step 3: Cross multiply
    395,528.94x = 545,828.58 × 214,240.50
  4. Step 4: Simplify right side
    395,528.94x = 116,938,587,893.49
  5. Step 5: Solve for x
    x = 116,938,587,893.49/395,528.94
  6. Step 6: Final answer
    x = 295,651.15

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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.