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Finding the Fourth Proportional to 461,090, 636,829.08 and 309,924.56

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Solution

The fourth proportional to 461,090, 636,829.08 and 309,924.56 is: 428,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,090 : 636,829.08 = 309,924.56 : x
  2. Step 2: Convert to fraction form
    461,090/636,829.08 = 309,924.56/x
  3. Step 3: Cross multiply
    461,090x = 636,829.08 × 309,924.56
  4. Step 4: Simplify right side
    461,090x = 197,368,972,414.21
  5. Step 5: Solve for x
    x = 197,368,972,414.21/461,090
  6. Step 6: Final answer
    x = 428,048.69

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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.