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Finding the Fourth Proportional to 418,701.28, 629,320.68 and 277,029.76

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Solution

The fourth proportional to 418,701.28, 629,320.68 and 277,029.76 is: 416,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,701.28 : 629,320.68 = 277,029.76 : x
  2. Step 2: Convert to fraction form
    418,701.28/629,320.68 = 277,029.76/x
  3. Step 3: Cross multiply
    418,701.28x = 629,320.68 × 277,029.76
  4. Step 4: Simplify right side
    418,701.28x = 174,340,556,943.44
  5. Step 5: Solve for x
    x = 174,340,556,943.44/418,701.28
  6. Step 6: Final answer
    x = 416,384.10

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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.