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Finding the Fourth Proportional to 395,447.40, 545,710.67 and 214,157.86

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Solution

The fourth proportional to 395,447.40, 545,710.67 and 214,157.86 is: 295,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,447.40 : 545,710.67 = 214,157.86 : x
  2. Step 2: Convert to fraction form
    395,447.40/545,710.67 = 214,157.86/x
  3. Step 3: Cross multiply
    395,447.40x = 545,710.67 × 214,157.86
  4. Step 4: Simplify right side
    395,447.40x = 116,868,227,634.39
  5. Step 5: Solve for x
    x = 116,868,227,634.39/395,447.40
  6. Step 6: Final answer
    x = 295,534.19

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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.