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Finding the Fourth Proportional to 433,999.40, 650,999.10 and 355,202.60

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Solution

The fourth proportional to 433,999.40, 650,999.10 and 355,202.60 is: 532,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,999.40 : 650,999.10 = 355,202.60 : x
  2. Step 2: Convert to fraction form
    433,999.40/650,999.10 = 355,202.60/x
  3. Step 3: Cross multiply
    433,999.40x = 650,999.10 × 355,202.60
  4. Step 4: Simplify right side
    433,999.40x = 231,236,572,917.66
  5. Step 5: Solve for x
    x = 231,236,572,917.66/433,999.40
  6. Step 6: Final answer
    x = 532,803.90

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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.