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Finding the Fourth Proportional to 469,776.89, 648,020.99 and 299,819.45

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Solution

The fourth proportional to 469,776.89, 648,020.99 and 299,819.45 is: 413,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,776.89 : 648,020.99 = 299,819.45 : x
  2. Step 2: Convert to fraction form
    469,776.89/648,020.99 = 299,819.45/x
  3. Step 3: Cross multiply
    469,776.89x = 648,020.99 × 299,819.45
  4. Step 4: Simplify right side
    469,776.89x = 194,289,295,311.16
  5. Step 5: Solve for x
    x = 194,289,295,311.16/469,776.89
  6. Step 6: Final answer
    x = 413,577.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.