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Finding the Fourth Proportional to 279,969.40, 419,954.10 and 209,985.40

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Solution

The fourth proportional to 279,969.40, 419,954.10 and 209,985.40 is: 314,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,969.40 : 419,954.10 = 209,985.40 : x
  2. Step 2: Convert to fraction form
    279,969.40/419,954.10 = 209,985.40/x
  3. Step 3: Cross multiply
    279,969.40x = 419,954.10 × 209,985.40
  4. Step 4: Simplify right side
    279,969.40x = 88,184,229,670.14
  5. Step 5: Solve for x
    x = 88,184,229,670.14/279,969.40
  6. Step 6: Final answer
    x = 314,978.10

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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.