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Finding the Fourth Proportional to 393,052.96, 542,427.60 and 223,315.84

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Solution

The fourth proportional to 393,052.96, 542,427.60 and 223,315.84 is: 308,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,052.96 : 542,427.60 = 223,315.84 : x
  2. Step 2: Convert to fraction form
    393,052.96/542,427.60 = 223,315.84/x
  3. Step 3: Cross multiply
    393,052.96x = 542,427.60 × 223,315.84
  4. Step 4: Simplify right side
    393,052.96x = 121,132,675,133.18
  5. Step 5: Solve for x
    x = 121,132,675,133.18/393,052.96
  6. Step 6: Final answer
    x = 308,184.11

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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.