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Finding the Fourth Proportional to 354,222.39, 531,018.99 and 138,031.06

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Solution

The fourth proportional to 354,222.39, 531,018.99 and 138,031.06 is: 206,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,222.39 : 531,018.99 = 138,031.06 : x
  2. Step 2: Convert to fraction form
    354,222.39/531,018.99 = 138,031.06/x
  3. Step 3: Cross multiply
    354,222.39x = 531,018.99 × 138,031.06
  4. Step 4: Simplify right side
    354,222.39x = 73,297,115,742.45
  5. Step 5: Solve for x
    x = 73,297,115,742.45/354,222.39
  6. Step 6: Final answer
    x = 206,924.01

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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.