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Finding the Fourth Proportional to 420,419.20, 629,707.20 and 365,123.20

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Solution

The fourth proportional to 420,419.20, 629,707.20 and 365,123.20 is: 546,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,419.20 : 629,707.20 = 365,123.20 : x
  2. Step 2: Convert to fraction form
    420,419.20/629,707.20 = 365,123.20/x
  3. Step 3: Cross multiply
    420,419.20x = 629,707.20 × 365,123.20
  4. Step 4: Simplify right side
    420,419.20x = 229,920,707,927.04
  5. Step 5: Solve for x
    x = 229,920,707,927.04/420,419.20
  6. Step 6: Final answer
    x = 546,884.41

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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.