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Finding the Fourth Proportional to 329,212.14, 493,720.80 and 139,670.11

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Solution

The fourth proportional to 329,212.14, 493,720.80 and 139,670.11 is: 209,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,212.14 : 493,720.80 = 139,670.11 : x
  2. Step 2: Convert to fraction form
    329,212.14/493,720.80 = 139,670.11/x
  3. Step 3: Cross multiply
    329,212.14x = 493,720.80 × 139,670.11
  4. Step 4: Simplify right side
    329,212.14x = 68,958,038,445.29
  5. Step 5: Solve for x
    x = 68,958,038,445.29/329,212.14
  6. Step 6: Final answer
    x = 209,463.84

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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.