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Finding the Fourth Proportional to 318,641.82, 439,738.26 and 175,415.20

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Solution

The fourth proportional to 318,641.82, 439,738.26 and 175,415.20 is: 242,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,641.82 : 439,738.26 = 175,415.20 : x
  2. Step 2: Convert to fraction form
    318,641.82/439,738.26 = 175,415.20/x
  3. Step 3: Cross multiply
    318,641.82x = 439,738.26 × 175,415.20
  4. Step 4: Simplify right side
    318,641.82x = 77,136,774,825.55
  5. Step 5: Solve for x
    x = 77,136,774,825.55/318,641.82
  6. Step 6: Final answer
    x = 242,079.88

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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.