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Finding the Fourth Proportional to 1,382,432, 2,073,648 and 331,808

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Solution

The fourth proportional to 1,382,432, 2,073,648 and 331,808 is: 497,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,432 : 2,073,648 = 331,808 : x
  2. Step 2: Convert to fraction form
    1,382,432/2,073,648 = 331,808/x
  3. Step 3: Cross multiply
    1,382,432x = 2,073,648 × 331,808
  4. Step 4: Simplify right side
    1,382,432x = 688,052,995,584
  5. Step 5: Solve for x
    x = 688,052,995,584/1,382,432
  6. Step 6: Final answer
    x = 497,712

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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.