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Finding the Fourth Proportional to 469,077, 703,615.50 and 206,421

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Solution

The fourth proportional to 469,077, 703,615.50 and 206,421 is: 309,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,077 : 703,615.50 = 206,421 : x
  2. Step 2: Convert to fraction form
    469,077/703,615.50 = 206,421/x
  3. Step 3: Cross multiply
    469,077x = 703,615.50 × 206,421
  4. Step 4: Simplify right side
    469,077x = 145,241,015,125.50
  5. Step 5: Solve for x
    x = 145,241,015,125.50/469,077
  6. Step 6: Final answer
    x = 309,631.50

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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.