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Finding the Fourth Proportional to 442,424.89, 664,301.94 and 253,099

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Solution

The fourth proportional to 442,424.89, 664,301.94 and 253,099 is: 380,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,424.89 : 664,301.94 = 253,099 : x
  2. Step 2: Convert to fraction form
    442,424.89/664,301.94 = 253,099/x
  3. Step 3: Cross multiply
    442,424.89x = 664,301.94 × 253,099
  4. Step 4: Simplify right side
    442,424.89x = 168,134,156,712.06
  5. Step 5: Solve for x
    x = 168,134,156,712.06/442,424.89
  6. Step 6: Final answer
    x = 380,028.70

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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.