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Finding the Fourth Proportional to 485,794.94, 670,049.89 and 421,148.58

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Solution

The fourth proportional to 485,794.94, 670,049.89 and 421,148.58 is: 580,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,794.94 : 670,049.89 = 421,148.58 : x
  2. Step 2: Convert to fraction form
    485,794.94/670,049.89 = 421,148.58/x
  3. Step 3: Cross multiply
    485,794.94x = 670,049.89 × 421,148.58
  4. Step 4: Simplify right side
    485,794.94x = 282,190,556,137.10
  5. Step 5: Solve for x
    x = 282,190,556,137.10/485,794.94
  6. Step 6: Final answer
    x = 580,884.11

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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.