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Finding the Fourth Proportional to 395,708.51, 546,079.64 and 214,420.77

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Solution

The fourth proportional to 395,708.51, 546,079.64 and 214,420.77 is: 295,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,708.51 : 546,079.64 = 214,420.77 : x
  2. Step 2: Convert to fraction form
    395,708.51/546,079.64 = 214,420.77/x
  3. Step 3: Cross multiply
    395,708.51x = 546,079.64 × 214,420.77
  4. Step 4: Simplify right side
    395,708.51x = 117,090,818,791.37
  5. Step 5: Solve for x
    x = 117,090,818,791.37/395,708.51
  6. Step 6: Final answer
    x = 295,901.69

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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.