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Finding the Fourth Proportional to 420,105.20, 630,244.20 and 139,823.60

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Solution

The fourth proportional to 420,105.20, 630,244.20 and 139,823.60 is: 209,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,105.20 : 630,244.20 = 139,823.60 : x
  2. Step 2: Convert to fraction form
    420,105.20/630,244.20 = 139,823.60/x
  3. Step 3: Cross multiply
    420,105.20x = 630,244.20 × 139,823.60
  4. Step 4: Simplify right side
    420,105.20x = 88,123,012,923.12
  5. Step 5: Solve for x
    x = 88,123,012,923.12/420,105.20
  6. Step 6: Final answer
    x = 209,764.16

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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.