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Finding the Fourth Proportional to 395,296.88, 545,509.02 and 214,008.74

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Solution

The fourth proportional to 395,296.88, 545,509.02 and 214,008.74 is: 295,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,296.88 : 545,509.02 = 214,008.74 : x
  2. Step 2: Convert to fraction form
    395,296.88/545,509.02 = 214,008.74/x
  3. Step 3: Cross multiply
    395,296.88x = 545,509.02 × 214,008.74
  4. Step 4: Simplify right side
    395,296.88x = 116,743,698,028.84
  5. Step 5: Solve for x
    x = 116,743,698,028.84/395,296.88
  6. Step 6: Final answer
    x = 295,331.70

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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.