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Finding the Fourth Proportional to 395,641.05, 545,983.92 and 214,357.61

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Solution

The fourth proportional to 395,641.05, 545,983.92 and 214,357.61 is: 295,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,641.05 : 545,983.92 = 214,357.61 : x
  2. Step 2: Convert to fraction form
    395,641.05/545,983.92 = 214,357.61/x
  3. Step 3: Cross multiply
    395,641.05x = 545,983.92 × 214,357.61
  4. Step 4: Simplify right side
    395,641.05x = 117,035,805,459.71
  5. Step 5: Solve for x
    x = 117,035,805,459.71/395,641.05
  6. Step 6: Final answer
    x = 295,813.10

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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.