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Finding the Fourth Proportional to 318,106, 438,997.80 and 182,164.24

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Solution

The fourth proportional to 318,106, 438,997.80 and 182,164.24 is: 251,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,106 : 438,997.80 = 182,164.24 : x
  2. Step 2: Convert to fraction form
    318,106/438,997.80 = 182,164.24/x
  3. Step 3: Cross multiply
    318,106x = 438,997.80 × 182,164.24
  4. Step 4: Simplify right side
    318,106x = 79,969,700,598.67
  5. Step 5: Solve for x
    x = 79,969,700,598.67/318,106
  6. Step 6: Final answer
    x = 251,393.25

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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.