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Finding the Fourth Proportional to 393,261.94, 542,747.64 and 223,521.58

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Solution

The fourth proportional to 393,261.94, 542,747.64 and 223,521.58 is: 308,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,261.94 : 542,747.64 = 223,521.58 : x
  2. Step 2: Convert to fraction form
    393,261.94/542,747.64 = 223,521.58/x
  3. Step 3: Cross multiply
    393,261.94x = 542,747.64 × 223,521.58
  4. Step 4: Simplify right side
    393,261.94x = 121,315,810,034.07
  5. Step 5: Solve for x
    x = 121,315,810,034.07/393,261.94
  6. Step 6: Final answer
    x = 308,486.02

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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.