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Finding the Fourth Proportional to 318,721.44, 439,853.76 and 175,512

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Solution

The fourth proportional to 318,721.44, 439,853.76 and 175,512 is: 242,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,721.44 : 439,853.76 = 175,512 : x
  2. Step 2: Convert to fraction form
    318,721.44/439,853.76 = 175,512/x
  3. Step 3: Cross multiply
    318,721.44x = 439,853.76 × 175,512
  4. Step 4: Simplify right side
    318,721.44x = 77,199,613,125.12
  5. Step 5: Solve for x
    x = 77,199,613,125.12/318,721.44
  6. Step 6: Final answer
    x = 242,216.57

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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.