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Finding the Fourth Proportional to 280,542.20, 420,813.30 and 175,566.20

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Solution

The fourth proportional to 280,542.20, 420,813.30 and 175,566.20 is: 263,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,542.20 : 420,813.30 = 175,566.20 : x
  2. Step 2: Convert to fraction form
    280,542.20/420,813.30 = 175,566.20/x
  3. Step 3: Cross multiply
    280,542.20x = 420,813.30 × 175,566.20
  4. Step 4: Simplify right side
    280,542.20x = 73,880,591,990.46
  5. Step 5: Solve for x
    x = 73,880,591,990.46/280,542.20
  6. Step 6: Final answer
    x = 263,349.30

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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.