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Finding the Fourth Proportional to 394,406.21, 544,323.82 and 228,870.64

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Solution

The fourth proportional to 394,406.21, 544,323.82 and 228,870.64 is: 315,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,406.21 : 544,323.82 = 228,870.64 : x
  2. Step 2: Convert to fraction form
    394,406.21/544,323.82 = 228,870.64/x
  3. Step 3: Cross multiply
    394,406.21x = 544,323.82 × 228,870.64
  4. Step 4: Simplify right side
    394,406.21x = 124,579,742,031.61
  5. Step 5: Solve for x
    x = 124,579,742,031.61/394,406.21
  6. Step 6: Final answer
    x = 315,866.58

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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.