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Finding the Fourth Proportional to 394,820.15, 544,851.80 and 213,532.08

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Solution

The fourth proportional to 394,820.15, 544,851.80 and 213,532.08 is: 294,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,820.15 : 544,851.80 = 213,532.08 : x
  2. Step 2: Convert to fraction form
    394,820.15/544,851.80 = 213,532.08/x
  3. Step 3: Cross multiply
    394,820.15x = 544,851.80 × 213,532.08
  4. Step 4: Simplify right side
    394,820.15x = 116,343,338,145.74
  5. Step 5: Solve for x
    x = 116,343,338,145.74/394,820.15
  6. Step 6: Final answer
    x = 294,674.27

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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.