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Finding the Fourth Proportional to 442,423.89, 664,300.44 and 253,098

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Solution

The fourth proportional to 442,423.89, 664,300.44 and 253,098 is: 380,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,423.89 : 664,300.44 = 253,098 : x
  2. Step 2: Convert to fraction form
    442,423.89/664,300.44 = 253,098/x
  3. Step 3: Cross multiply
    442,423.89x = 664,300.44 × 253,098
  4. Step 4: Simplify right side
    442,423.89x = 168,133,112,763.12
  5. Step 5: Solve for x
    x = 168,133,112,763.12/442,423.89
  6. Step 6: Final answer
    x = 380,027.20

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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.