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Finding the Fourth Proportional to 280,641.84, 420,912.16 and 80,913.18

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Solution

The fourth proportional to 280,641.84, 420,912.16 and 80,913.18 is: 121,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,641.84 : 420,912.16 = 80,913.18 : x
  2. Step 2: Convert to fraction form
    280,641.84/420,912.16 = 80,913.18/x
  3. Step 3: Cross multiply
    280,641.84x = 420,912.16 × 80,913.18
  4. Step 4: Simplify right side
    280,641.84x = 34,057,341,366.27
  5. Step 5: Solve for x
    x = 34,057,341,366.27/280,641.84
  6. Step 6: Final answer
    x = 121,355.18

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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.