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Finding the Fourth Proportional to 279,970.40, 419,955.60 and 130,160.90

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Solution

The fourth proportional to 279,970.40, 419,955.60 and 130,160.90 is: 195,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,970.40 : 419,955.60 = 130,160.90 : x
  2. Step 2: Convert to fraction form
    279,970.40/419,955.60 = 130,160.90/x
  3. Step 3: Cross multiply
    279,970.40x = 419,955.60 × 130,160.90
  4. Step 4: Simplify right side
    279,970.40x = 54,661,798,856.04
  5. Step 5: Solve for x
    x = 54,661,798,856.04/279,970.40
  6. Step 6: Final answer
    x = 195,241.35

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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.