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Finding the Fourth Proportional to 293,544, 405,090.72 and 159,408

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Solution

The fourth proportional to 293,544, 405,090.72 and 159,408 is: 219,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,544 : 405,090.72 = 159,408 : x
  2. Step 2: Convert to fraction form
    293,544/405,090.72 = 159,408/x
  3. Step 3: Cross multiply
    293,544x = 405,090.72 × 159,408
  4. Step 4: Simplify right side
    293,544x = 64,574,701,493.76
  5. Step 5: Solve for x
    x = 64,574,701,493.76/293,544
  6. Step 6: Final answer
    x = 219,983.04

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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.