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Finding the Fourth Proportional to 420,055.96, 629,894.40 and 120,467.76

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Solution

The fourth proportional to 420,055.96, 629,894.40 and 120,467.76 is: 180,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,055.96 : 629,894.40 = 120,467.76 : x
  2. Step 2: Convert to fraction form
    420,055.96/629,894.40 = 120,467.76/x
  3. Step 3: Cross multiply
    420,055.96x = 629,894.40 × 120,467.76
  4. Step 4: Simplify right side
    420,055.96x = 75,881,967,404.54
  5. Step 5: Solve for x
    x = 75,881,967,404.54/420,055.96
  6. Step 6: Final answer
    x = 180,647.28

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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.