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Finding the Fourth Proportional to 280,817.20, 421,225.80 and 280,817.20

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Solution

The fourth proportional to 280,817.20, 421,225.80 and 280,817.20 is: 421,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,817.20 : 421,225.80 = 280,817.20 : x
  2. Step 2: Convert to fraction form
    280,817.20/421,225.80 = 280,817.20/x
  3. Step 3: Cross multiply
    280,817.20x = 421,225.80 × 280,817.20
  4. Step 4: Simplify right side
    280,817.20x = 118,287,449,723.76
  5. Step 5: Solve for x
    x = 118,287,449,723.76/280,817.20
  6. Step 6: Final answer
    x = 421,225.80

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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.