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Finding the Fourth Proportional to 420,078.35, 629,756.57 and 153,783.77

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Solution

The fourth proportional to 420,078.35, 629,756.57 and 153,783.77 is: 230,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,078.35 : 629,756.57 = 153,783.77 : x
  2. Step 2: Convert to fraction form
    420,078.35/629,756.57 = 153,783.77/x
  3. Step 3: Cross multiply
    420,078.35x = 629,756.57 × 153,783.77
  4. Step 4: Simplify right side
    420,078.35x = 96,846,336,752.55
  5. Step 5: Solve for x
    x = 96,846,336,752.55/420,078.35
  6. Step 6: Final answer
    x = 230,543.51

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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.