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Finding the Fourth Proportional to 420,392.96, 629,460.48 and 262,307.84

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Solution

The fourth proportional to 420,392.96, 629,460.48 and 262,307.84 is: 392,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,392.96 : 629,460.48 = 262,307.84 : x
  2. Step 2: Convert to fraction form
    420,392.96/629,460.48 = 262,307.84/x
  3. Step 3: Cross multiply
    420,392.96x = 629,460.48 × 262,307.84
  4. Step 4: Simplify right side
    420,392.96x = 165,112,418,874.16
  5. Step 5: Solve for x
    x = 165,112,418,874.16/420,392.96
  6. Step 6: Final answer
    x = 392,757.34

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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.