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Finding the Fourth Proportional to 3,154,891.65, 4,733,813.70 and 1,640,284.80

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Solution

The fourth proportional to 3,154,891.65, 4,733,813.70 and 1,640,284.80 is: 2,461,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154,891.65 : 4,733,813.70 = 1,640,284.80 : x
  2. Step 2: Convert to fraction form
    3,154,891.65/4,733,813.70 = 1,640,284.80/x
  3. Step 3: Cross multiply
    3,154,891.65x = 4,733,813.70 × 1,640,284.80
  4. Step 4: Simplify right side
    3,154,891.65x = 7,764,802,658,141.76
  5. Step 5: Solve for x
    x = 7,764,802,658,141.76/3,154,891.65
  6. Step 6: Final answer
    x = 2,461,194.72

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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.