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Finding the Fourth Proportional to 280,509.22, 420,767.55 and 93,520.78

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Solution

The fourth proportional to 280,509.22, 420,767.55 and 93,520.78 is: 140,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,509.22 : 420,767.55 = 93,520.78 : x
  2. Step 2: Convert to fraction form
    280,509.22/420,767.55 = 93,520.78/x
  3. Step 3: Cross multiply
    280,509.22x = 420,767.55 × 93,520.78
  4. Step 4: Simplify right side
    280,509.22x = 39,350,509,474.69
  5. Step 5: Solve for x
    x = 39,350,509,474.69/280,509.22
  6. Step 6: Final answer
    x = 140,282.41

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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.