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Finding the Fourth Proportional to 665,930.14, 998,584.64 and 345,996

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Solution

The fourth proportional to 665,930.14, 998,584.64 and 345,996 is: 518,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,930.14 : 998,584.64 = 345,996 : x
  2. Step 2: Convert to fraction form
    665,930.14/998,584.64 = 345,996/x
  3. Step 3: Cross multiply
    665,930.14x = 998,584.64 × 345,996
  4. Step 4: Simplify right side
    665,930.14x = 345,506,291,101.44
  5. Step 5: Solve for x
    x = 345,506,291,101.44/665,930.14
  6. Step 6: Final answer
    x = 518,832.64

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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.