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Finding the Fourth Proportional to 395,865.82, 546,301.83 and 214,583.77

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Solution

The fourth proportional to 395,865.82, 546,301.83 and 214,583.77 is: 296,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,865.82 : 546,301.83 = 214,583.77 : x
  2. Step 2: Convert to fraction form
    395,865.82/546,301.83 = 214,583.77/x
  3. Step 3: Cross multiply
    395,865.82x = 546,301.83 × 214,583.77
  4. Step 4: Simplify right side
    395,865.82x = 117,227,506,239.30
  5. Step 5: Solve for x
    x = 117,227,506,239.30/395,865.82
  6. Step 6: Final answer
    x = 296,129.40

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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.