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Finding the Fourth Proportional to 393,438.94, 542,991.81 and 223,698.58

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Solution

The fourth proportional to 393,438.94, 542,991.81 and 223,698.58 is: 308,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,438.94 : 542,991.81 = 223,698.58 : x
  2. Step 2: Convert to fraction form
    393,438.94/542,991.81 = 223,698.58/x
  3. Step 3: Cross multiply
    393,438.94x = 542,991.81 × 223,698.58
  4. Step 4: Simplify right side
    393,438.94x = 121,466,496,848.63
  5. Step 5: Solve for x
    x = 121,466,496,848.63/393,438.94
  6. Step 6: Final answer
    x = 308,730.24

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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.