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Finding the Fourth Proportional to 485,396.34, 727,522.64 and 218,844.78

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Solution

The fourth proportional to 485,396.34, 727,522.64 and 218,844.78 is: 328,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,396.34 : 727,522.64 = 218,844.78 : x
  2. Step 2: Convert to fraction form
    485,396.34/727,522.64 = 218,844.78/x
  3. Step 3: Cross multiply
    485,396.34x = 727,522.64 × 218,844.78
  4. Step 4: Simplify right side
    485,396.34x = 159,214,532,095.82
  5. Step 5: Solve for x
    x = 159,214,532,095.82/485,396.34
  6. Step 6: Final answer
    x = 328,009.34

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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.