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Finding the Fourth Proportional to 253,816.15, 380,408.31 and 163,621.03

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Solution

The fourth proportional to 253,816.15, 380,408.31 and 163,621.03 is: 245,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,816.15 : 380,408.31 = 163,621.03 : x
  2. Step 2: Convert to fraction form
    253,816.15/380,408.31 = 163,621.03/x
  3. Step 3: Cross multiply
    253,816.15x = 380,408.31 × 163,621.03
  4. Step 4: Simplify right side
    253,816.15x = 62,242,799,502.76
  5. Step 5: Solve for x
    x = 62,242,799,502.76/253,816.15
  6. Step 6: Final answer
    x = 245,227.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.