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Finding the Fourth Proportional to 461,070, 636,801.48 and 309,904.56

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Solution

The fourth proportional to 461,070, 636,801.48 and 309,904.56 is: 428,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,070 : 636,801.48 = 309,904.56 : x
  2. Step 2: Convert to fraction form
    461,070/636,801.48 = 309,904.56/x
  3. Step 3: Cross multiply
    461,070x = 636,801.48 × 309,904.56
  4. Step 4: Simplify right side
    461,070x = 197,347,682,466.75
  5. Step 5: Solve for x
    x = 197,347,682,466.75/461,070
  6. Step 6: Final answer
    x = 428,021.09

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1.5x scale

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.