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Finding the Fourth Proportional to 488,693.34, 673,996.95 and 343,978.17

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Solution

The fourth proportional to 488,693.34, 673,996.95 and 343,978.17 is: 474,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,693.34 : 673,996.95 = 343,978.17 : x
  2. Step 2: Convert to fraction form
    488,693.34/673,996.95 = 343,978.17/x
  3. Step 3: Cross multiply
    488,693.34x = 673,996.95 × 343,978.17
  4. Step 4: Simplify right side
    488,693.34x = 231,840,237,446.58
  5. Step 5: Solve for x
    x = 231,840,237,446.58/488,693.34
  6. Step 6: Final answer
    x = 474,408.42

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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.