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Finding the Fourth Proportional to 396,078.74, 546,588.80 and 214,790.61

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Solution

The fourth proportional to 396,078.74, 546,588.80 and 214,790.61 is: 296,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,078.74 : 546,588.80 = 214,790.61 : x
  2. Step 2: Convert to fraction form
    396,078.74/546,588.80 = 214,790.61/x
  3. Step 3: Cross multiply
    396,078.74x = 546,588.80 × 214,790.61
  4. Step 4: Simplify right side
    396,078.74x = 117,402,140,697.22
  5. Step 5: Solve for x
    x = 117,402,140,697.22/396,078.74
  6. Step 6: Final answer
    x = 296,411.12

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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.