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Finding the Fourth Proportional to 395,299.35, 545,513.31 and 214,011.32

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Solution

The fourth proportional to 395,299.35, 545,513.31 and 214,011.32 is: 295,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,299.35 : 545,513.31 = 214,011.32 : x
  2. Step 2: Convert to fraction form
    395,299.35/545,513.31 = 214,011.32/x
  3. Step 3: Cross multiply
    395,299.35x = 545,513.31 × 214,011.32
  4. Step 4: Simplify right side
    395,299.35x = 116,746,020,823.10
  5. Step 5: Solve for x
    x = 116,746,020,823.10/395,299.35
  6. Step 6: Final answer
    x = 295,335.73

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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.