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Finding the Fourth Proportional to 420,411.20, 629,695.20 and 365,115.20

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Solution

The fourth proportional to 420,411.20, 629,695.20 and 365,115.20 is: 546,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,411.20 : 629,695.20 = 365,115.20 : x
  2. Step 2: Convert to fraction form
    420,411.20/629,695.20 = 365,115.20/x
  3. Step 3: Cross multiply
    420,411.20x = 629,695.20 × 365,115.20
  4. Step 4: Simplify right side
    420,411.20x = 229,911,288,887.04
  5. Step 5: Solve for x
    x = 229,911,288,887.04/420,411.20
  6. Step 6: Final answer
    x = 546,872.42

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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.