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Finding the Fourth Proportional to 414,176.80, 620,354.56 and 342,284.66

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Solution

The fourth proportional to 414,176.80, 620,354.56 and 342,284.66 is: 512,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,176.80 : 620,354.56 = 342,284.66 : x
  2. Step 2: Convert to fraction form
    414,176.80/620,354.56 = 342,284.66/x
  3. Step 3: Cross multiply
    414,176.80x = 620,354.56 × 342,284.66
  4. Step 4: Simplify right side
    414,176.80x = 212,337,849,649.05
  5. Step 5: Solve for x
    x = 212,337,849,649.05/414,176.80
  6. Step 6: Final answer
    x = 512,674.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.