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Finding the Fourth Proportional to 318,945.36, 478,714.50 and 161,286.96

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Solution

The fourth proportional to 318,945.36, 478,714.50 and 161,286.96 is: 242,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,945.36 : 478,714.50 = 161,286.96 : x
  2. Step 2: Convert to fraction form
    318,945.36/478,714.50 = 161,286.96/x
  3. Step 3: Cross multiply
    318,945.36x = 478,714.50 × 161,286.96
  4. Step 4: Simplify right side
    318,945.36x = 77,210,406,412.92
  5. Step 5: Solve for x
    x = 77,210,406,412.92/318,945.36
  6. Step 6: Final answer
    x = 242,080.36

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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.