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Finding the Fourth Proportional to 1,382,912, 2,074,368 and 332,288

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Solution

The fourth proportional to 1,382,912, 2,074,368 and 332,288 is: 498,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,912 : 2,074,368 = 332,288 : x
  2. Step 2: Convert to fraction form
    1,382,912/2,074,368 = 332,288/x
  3. Step 3: Cross multiply
    1,382,912x = 2,074,368 × 332,288
  4. Step 4: Simplify right side
    1,382,912x = 689,287,593,984
  5. Step 5: Solve for x
    x = 689,287,593,984/1,382,912
  6. Step 6: Final answer
    x = 498,432

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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.