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Finding the Fourth Proportional to 280,463.40, 420,695.10 and 257,525.80

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Solution

The fourth proportional to 280,463.40, 420,695.10 and 257,525.80 is: 386,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463.40 : 420,695.10 = 257,525.80 : x
  2. Step 2: Convert to fraction form
    280,463.40/420,695.10 = 257,525.80/x
  3. Step 3: Cross multiply
    280,463.40x = 420,695.10 × 257,525.80
  4. Step 4: Simplify right side
    280,463.40x = 108,339,842,183.58
  5. Step 5: Solve for x
    x = 108,339,842,183.58/280,463.40
  6. Step 6: Final answer
    x = 386,288.70

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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.