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Finding the Fourth Proportional to 395,461.01, 545,733.11 and 214,168.74

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Solution

The fourth proportional to 395,461.01, 545,733.11 and 214,168.74 is: 295,551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,461.01 : 545,733.11 = 214,168.74 : x
  2. Step 2: Convert to fraction form
    395,461.01/545,733.11 = 214,168.74/x
  3. Step 3: Cross multiply
    395,461.01x = 545,733.11 × 214,168.74
  4. Step 4: Simplify right side
    395,461.01x = 116,878,971,474.14
  5. Step 5: Solve for x
    x = 116,878,971,474.14/395,461.01
  6. Step 6: Final answer
    x = 295,551.19

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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.