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Finding the Fourth Proportional to 1,000,224, 1,500,336 and 299,808

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Solution

The fourth proportional to 1,000,224, 1,500,336 and 299,808 is: 449,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,224 : 1,500,336 = 299,808 : x
  2. Step 2: Convert to fraction form
    1,000,224/1,500,336 = 299,808/x
  3. Step 3: Cross multiply
    1,000,224x = 1,500,336 × 299,808
  4. Step 4: Simplify right side
    1,000,224x = 449,812,735,488
  5. Step 5: Solve for x
    x = 449,812,735,488/1,000,224
  6. Step 6: Final answer
    x = 449,712

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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.