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Finding the Fourth Proportional to 1,382,184, 2,073,276 and 384,912

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Solution

The fourth proportional to 1,382,184, 2,073,276 and 384,912 is: 577,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,184 : 2,073,276 = 384,912 : x
  2. Step 2: Convert to fraction form
    1,382,184/2,073,276 = 384,912/x
  3. Step 3: Cross multiply
    1,382,184x = 2,073,276 × 384,912
  4. Step 4: Simplify right side
    1,382,184x = 798,028,811,712
  5. Step 5: Solve for x
    x = 798,028,811,712/1,382,184
  6. Step 6: Final answer
    x = 577,368

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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.