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Finding the Fourth Proportional to 280,139.60, 419,917.80 and 153,585.20

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Solution

The fourth proportional to 280,139.60, 419,917.80 and 153,585.20 is: 230,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,139.60 : 419,917.80 = 153,585.20 : x
  2. Step 2: Convert to fraction form
    280,139.60/419,917.80 = 153,585.20/x
  3. Step 3: Cross multiply
    280,139.60x = 419,917.80 × 153,585.20
  4. Step 4: Simplify right side
    280,139.60x = 64,493,159,296.56
  5. Step 5: Solve for x
    x = 64,493,159,296.56/280,139.60
  6. Step 6: Final answer
    x = 230,217.93

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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.