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Finding the Fourth Proportional to 402,255.90, 603,205.65 and 135,944.10

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Solution

The fourth proportional to 402,255.90, 603,205.65 and 135,944.10 is: 203,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,255.90 : 603,205.65 = 135,944.10 : x
  2. Step 2: Convert to fraction form
    402,255.90/603,205.65 = 135,944.10/x
  3. Step 3: Cross multiply
    402,255.90x = 603,205.65 × 135,944.10
  4. Step 4: Simplify right side
    402,255.90x = 82,002,249,204.17
  5. Step 5: Solve for x
    x = 82,002,249,204.17/402,255.90
  6. Step 6: Final answer
    x = 203,855.93

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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.