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Finding the Fourth Proportional to 318,110.72, 438,992.64 and 174,880

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Solution

The fourth proportional to 318,110.72, 438,992.64 and 174,880 is: 241,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,110.72 : 438,992.64 = 174,880 : x
  2. Step 2: Convert to fraction form
    318,110.72/438,992.64 = 174,880/x
  3. Step 3: Cross multiply
    318,110.72x = 438,992.64 × 174,880
  4. Step 4: Simplify right side
    318,110.72x = 76,771,032,883.20
  5. Step 5: Solve for x
    x = 76,771,032,883.20/318,110.72
  6. Step 6: Final answer
    x = 241,334.32

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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.