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Finding the Fourth Proportional to 280,464.40, 420,696.60 and 257,526.80

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Solution

The fourth proportional to 280,464.40, 420,696.60 and 257,526.80 is: 386,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464.40 : 420,696.60 = 257,526.80 : x
  2. Step 2: Convert to fraction form
    280,464.40/420,696.60 = 257,526.80/x
  3. Step 3: Cross multiply
    280,464.40x = 420,696.60 × 257,526.80
  4. Step 4: Simplify right side
    280,464.40x = 108,340,649,168.88
  5. Step 5: Solve for x
    x = 108,340,649,168.88/280,464.40
  6. Step 6: Final answer
    x = 386,290.20

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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.