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Finding the Fourth Proportional to 1,176,417, 1,764,887.94 and 428,463

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Solution

The fourth proportional to 1,176,417, 1,764,887.94 and 428,463 is: 642,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,417 : 1,764,887.94 = 428,463 : x
  2. Step 2: Convert to fraction form
    1,176,417/1,764,887.94 = 428,463/x
  3. Step 3: Cross multiply
    1,176,417x = 1,764,887.94 × 428,463
  4. Step 4: Simplify right side
    1,176,417x = 756,189,181,436.22
  5. Step 5: Solve for x
    x = 756,189,181,436.22/1,176,417
  6. Step 6: Final answer
    x = 642,790.08

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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.