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Finding the Fourth Proportional to 629,758.32, 869,049.16 and 343,284

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Solution

The fourth proportional to 629,758.32, 869,049.16 and 343,284 is: 473,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,758.32 : 869,049.16 = 343,284 : x
  2. Step 2: Convert to fraction form
    629,758.32/869,049.16 = 343,284/x
  3. Step 3: Cross multiply
    629,758.32x = 869,049.16 × 343,284
  4. Step 4: Simplify right side
    629,758.32x = 298,330,671,841.44
  5. Step 5: Solve for x
    x = 298,330,671,841.44/629,758.32
  6. Step 6: Final answer
    x = 473,722.48

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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.