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Finding the Fourth Proportional to 279,784.64, 419,780.72 and 130,105.28

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Solution

The fourth proportional to 279,784.64, 419,780.72 and 130,105.28 is: 195,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,784.64 : 419,780.72 = 130,105.28 : x
  2. Step 2: Convert to fraction form
    279,784.64/419,780.72 = 130,105.28/x
  3. Step 3: Cross multiply
    279,784.64x = 419,780.72 × 130,105.28
  4. Step 4: Simplify right side
    279,784.64x = 54,615,688,114.20
  5. Step 5: Solve for x
    x = 54,615,688,114.20/279,784.64
  6. Step 6: Final answer
    x = 195,206.17

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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.