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Finding the Fourth Proportional to 395,448.48, 545,720.90 and 214,160.76

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Solution

The fourth proportional to 395,448.48, 545,720.90 and 214,160.76 is: 295,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,448.48 : 545,720.90 = 214,160.76 : x
  2. Step 2: Convert to fraction form
    395,448.48/545,720.90 = 214,160.76/x
  3. Step 3: Cross multiply
    395,448.48x = 545,720.90 × 214,160.76
  4. Step 4: Simplify right side
    395,448.48x = 116,872,001,621.08
  5. Step 5: Solve for x
    x = 116,872,001,621.08/395,448.48
  6. Step 6: Final answer
    x = 295,542.93

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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.