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Finding the Fourth Proportional to 395,448.40, 545,712.05 and 214,158.86

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Solution

The fourth proportional to 395,448.40, 545,712.05 and 214,158.86 is: 295,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,448.40 : 545,712.05 = 214,158.86 : x
  2. Step 2: Convert to fraction form
    395,448.40/545,712.05 = 214,158.86/x
  3. Step 3: Cross multiply
    395,448.40x = 545,712.05 × 214,158.86
  4. Step 4: Simplify right side
    395,448.40x = 116,869,070,516.26
  5. Step 5: Solve for x
    x = 116,869,070,516.26/395,448.40
  6. Step 6: Final answer
    x = 295,535.58

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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.