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Finding the Fourth Proportional to 1,186,295, 1,779,074.49 and 428,037.80

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Solution

The fourth proportional to 1,186,295, 1,779,074.49 and 428,037.80 is: 641,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,295 : 1,779,074.49 = 428,037.80 : x
  2. Step 2: Convert to fraction form
    1,186,295/1,779,074.49 = 428,037.80/x
  3. Step 3: Cross multiply
    1,186,295x = 1,779,074.49 × 428,037.80
  4. Step 4: Simplify right side
    1,186,295x = 761,511,130,735.72
  5. Step 5: Solve for x
    x = 761,511,130,735.72/1,186,295
  6. Step 6: Final answer
    x = 641,923.91

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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.