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Finding the Fourth Proportional to 402,139.20, 603,295.59 and 135,893.82

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Solution

The fourth proportional to 402,139.20, 603,295.59 and 135,893.82 is: 203,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,139.20 : 603,295.59 = 135,893.82 : x
  2. Step 2: Convert to fraction form
    402,139.20/603,295.59 = 135,893.82/x
  3. Step 3: Cross multiply
    402,139.20x = 603,295.59 × 135,893.82
  4. Step 4: Simplify right side
    402,139.20x = 81,984,142,314.25
  5. Step 5: Solve for x
    x = 81,984,142,314.25/402,139.20
  6. Step 6: Final answer
    x = 203,870.06

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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.