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Finding the Fourth Proportional to 414,175.80, 620,353.06 and 342,283.66

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Solution

The fourth proportional to 414,175.80, 620,353.06 and 342,283.66 is: 512,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,175.80 : 620,353.06 = 342,283.66 : x
  2. Step 2: Convert to fraction form
    414,175.80/620,353.06 = 342,283.66/x
  3. Step 3: Cross multiply
    414,175.80x = 620,353.06 × 342,283.66
  4. Step 4: Simplify right side
    414,175.80x = 212,336,715,869.00
  5. Step 5: Solve for x
    x = 212,336,715,869.00/414,175.80
  6. Step 6: Final answer
    x = 512,672.92

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1.5x scale

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.