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Finding the Fourth Proportional to 395,347.66, 545,580.02 and 214,059.71

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Solution

The fourth proportional to 395,347.66, 545,580.02 and 214,059.71 is: 295,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,347.66 : 545,580.02 = 214,059.71 : x
  2. Step 2: Convert to fraction form
    395,347.66/545,580.02 = 214,059.71/x
  3. Step 3: Cross multiply
    395,347.66x = 545,580.02 × 214,059.71
  4. Step 4: Simplify right side
    395,347.66x = 116,786,702,762.09
  5. Step 5: Solve for x
    x = 116,786,702,762.09/395,347.66
  6. Step 6: Final answer
    x = 295,402.54

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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.