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Finding the Fourth Proportional to 455,825.06, 629,442.06 and 284,036.22

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Solution

The fourth proportional to 455,825.06, 629,442.06 and 284,036.22 is: 392,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,825.06 : 629,442.06 = 284,036.22 : x
  2. Step 2: Convert to fraction form
    455,825.06/629,442.06 = 284,036.22/x
  3. Step 3: Cross multiply
    455,825.06x = 629,442.06 × 284,036.22
  4. Step 4: Simplify right side
    455,825.06x = 178,784,343,431.41
  5. Step 5: Solve for x
    x = 178,784,343,431.41/455,825.06
  6. Step 6: Final answer
    x = 392,221.40

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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.