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Finding the Fourth Proportional to 395,443.23, 545,708.94 and 214,151.01

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Solution

The fourth proportional to 395,443.23, 545,708.94 and 214,151.01 is: 295,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,443.23 : 545,708.94 = 214,151.01 : x
  2. Step 2: Convert to fraction form
    395,443.23/545,708.94 = 214,151.01/x
  3. Step 3: Cross multiply
    395,443.23x = 545,708.94 × 214,151.01
  4. Step 4: Simplify right side
    395,443.23x = 116,864,120,887.17
  5. Step 5: Solve for x
    x = 116,864,120,887.17/395,443.23
  6. Step 6: Final answer
    x = 295,526.92

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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.