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Finding the Fourth Proportional to 402,200.86, 603,303.12 and 135,962.80

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Solution

The fourth proportional to 402,200.86, 603,303.12 and 135,962.80 is: 203,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,200.86 : 603,303.12 = 135,962.80 : x
  2. Step 2: Convert to fraction form
    402,200.86/603,303.12 = 135,962.80/x
  3. Step 3: Cross multiply
    402,200.86x = 603,303.12 × 135,962.80
  4. Step 4: Simplify right side
    402,200.86x = 82,026,781,443.94
  5. Step 5: Solve for x
    x = 82,026,781,443.94/402,200.86
  6. Step 6: Final answer
    x = 203,944.82

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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.