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Finding the Fourth Proportional to 279,643.20, 419,464.80 and 79,970.10

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Solution

The fourth proportional to 279,643.20, 419,464.80 and 79,970.10 is: 119,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,643.20 : 419,464.80 = 79,970.10 : x
  2. Step 2: Convert to fraction form
    279,643.20/419,464.80 = 79,970.10/x
  3. Step 3: Cross multiply
    279,643.20x = 419,464.80 × 79,970.10
  4. Step 4: Simplify right side
    279,643.20x = 33,544,642,002.48
  5. Step 5: Solve for x
    x = 33,544,642,002.48/279,643.20
  6. Step 6: Final answer
    x = 119,955.15

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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.