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Finding the Fourth Proportional to 1,176,420, 1,764,892.44 and 428,466

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Solution

The fourth proportional to 1,176,420, 1,764,892.44 and 428,466 is: 642,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,420 : 1,764,892.44 = 428,466 : x
  2. Step 2: Convert to fraction form
    1,176,420/1,764,892.44 = 428,466/x
  3. Step 3: Cross multiply
    1,176,420x = 1,764,892.44 × 428,466
  4. Step 4: Simplify right side
    1,176,420x = 756,196,404,197.04
  5. Step 5: Solve for x
    x = 756,196,404,197.04/1,176,420
  6. Step 6: Final answer
    x = 642,794.58

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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.