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Finding the Fourth Proportional to 465,958.20, 699,455.70 and 288,665.40

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Solution

The fourth proportional to 465,958.20, 699,455.70 and 288,665.40 is: 433,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,958.20 : 699,455.70 = 288,665.40 : x
  2. Step 2: Convert to fraction form
    465,958.20/699,455.70 = 288,665.40/x
  3. Step 3: Cross multiply
    465,958.20x = 699,455.70 × 288,665.40
  4. Step 4: Simplify right side
    465,958.20x = 201,908,659,422.78
  5. Step 5: Solve for x
    x = 201,908,659,422.78/465,958.20
  6. Step 6: Final answer
    x = 433,319.25

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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.