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Finding the Fourth Proportional to 420,106.40, 630,620.40 and 262,512.80

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Solution

The fourth proportional to 420,106.40, 630,620.40 and 262,512.80 is: 394,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,106.40 : 630,620.40 = 262,512.80 : x
  2. Step 2: Convert to fraction form
    420,106.40/630,620.40 = 262,512.80/x
  3. Step 3: Cross multiply
    420,106.40x = 630,620.40 × 262,512.80
  4. Step 4: Simplify right side
    420,106.40x = 165,545,926,941.12
  5. Step 5: Solve for x
    x = 165,545,926,941.12/420,106.40
  6. Step 6: Final answer
    x = 394,057.14

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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.