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Finding the Fourth Proportional to 1,000,225, 1,500,337.50 and 299,809

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Solution

The fourth proportional to 1,000,225, 1,500,337.50 and 299,809 is: 449,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,225 : 1,500,337.50 = 299,809 : x
  2. Step 2: Convert to fraction form
    1,000,225/1,500,337.50 = 299,809/x
  3. Step 3: Cross multiply
    1,000,225x = 1,500,337.50 × 299,809
  4. Step 4: Simplify right side
    1,000,225x = 449,814,685,537.50
  5. Step 5: Solve for x
    x = 449,814,685,537.50/1,000,225
  6. Step 6: Final answer
    x = 449,713.50

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1.5x scale

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.