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Finding the Fourth Proportional to 629,752.32, 869,040.90 and 343,278

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Solution

The fourth proportional to 629,752.32, 869,040.90 and 343,278 is: 473,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,752.32 : 869,040.90 = 343,278 : x
  2. Step 2: Convert to fraction form
    629,752.32/869,040.90 = 343,278/x
  3. Step 3: Cross multiply
    629,752.32x = 869,040.90 × 343,278
  4. Step 4: Simplify right side
    629,752.32x = 298,322,622,070.20
  5. Step 5: Solve for x
    x = 298,322,622,070.20/629,752.32
  6. Step 6: Final answer
    x = 473,714.21

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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.