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Finding the Fourth Proportional to 280,527.12, 420,540.24 and 102,992.88

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Solution

The fourth proportional to 280,527.12, 420,540.24 and 102,992.88 is: 154,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,527.12 : 420,540.24 = 102,992.88 : x
  2. Step 2: Convert to fraction form
    280,527.12/420,540.24 = 102,992.88/x
  3. Step 3: Cross multiply
    280,527.12x = 420,540.24 × 102,992.88
  4. Step 4: Simplify right side
    280,527.12x = 43,312,650,473.49
  5. Step 5: Solve for x
    x = 43,312,650,473.49/280,527.12
  6. Step 6: Final answer
    x = 154,397.37

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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.