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Finding the Fourth Proportional to 280,200.70, 420,410.40 and 102,725.65

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Solution

The fourth proportional to 280,200.70, 420,410.40 and 102,725.65 is: 154,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,200.70 : 420,410.40 = 102,725.65 : x
  2. Step 2: Convert to fraction form
    280,200.70/420,410.40 = 102,725.65/x
  3. Step 3: Cross multiply
    280,200.70x = 420,410.40 × 102,725.65
  4. Step 4: Simplify right side
    280,200.70x = 43,186,931,606.76
  5. Step 5: Solve for x
    x = 43,186,931,606.76/280,200.70
  6. Step 6: Final answer
    x = 154,128.56

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1.5x scale

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.