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Finding the Fourth Proportional to 1,000,226, 1,500,339 and 299,810

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Solution

The fourth proportional to 1,000,226, 1,500,339 and 299,810 is: 449,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,226 : 1,500,339 = 299,810 : x
  2. Step 2: Convert to fraction form
    1,000,226/1,500,339 = 299,810/x
  3. Step 3: Cross multiply
    1,000,226x = 1,500,339 × 299,810
  4. Step 4: Simplify right side
    1,000,226x = 449,816,635,590
  5. Step 5: Solve for x
    x = 449,816,635,590/1,000,226
  6. Step 6: Final answer
    x = 449,715

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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.