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Finding the Fourth Proportional to 402,406.20, 603,390.60 and 136,029.60

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Solution

The fourth proportional to 402,406.20, 603,390.60 and 136,029.60 is: 203,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,406.20 : 603,390.60 = 136,029.60 : x
  2. Step 2: Convert to fraction form
    402,406.20/603,390.60 = 136,029.60/x
  3. Step 3: Cross multiply
    402,406.20x = 603,390.60 × 136,029.60
  4. Step 4: Simplify right side
    402,406.20x = 82,078,981,961.76
  5. Step 5: Solve for x
    x = 82,078,981,961.76/402,406.20
  6. Step 6: Final answer
    x = 203,970.47

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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.