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Finding the Fourth Proportional to 1,382,438, 2,073,657 and 331,814

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Solution

The fourth proportional to 1,382,438, 2,073,657 and 331,814 is: 497,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,438 : 2,073,657 = 331,814 : x
  2. Step 2: Convert to fraction form
    1,382,438/2,073,657 = 331,814/x
  3. Step 3: Cross multiply
    1,382,438x = 2,073,657 × 331,814
  4. Step 4: Simplify right side
    1,382,438x = 688,068,423,798
  5. Step 5: Solve for x
    x = 688,068,423,798/1,382,438
  6. Step 6: Final answer
    x = 497,721

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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.