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Finding the Fourth Proportional to 465,854.40, 699,307.20 and 308,390.40

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Solution

The fourth proportional to 465,854.40, 699,307.20 and 308,390.40 is: 462,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,854.40 : 699,307.20 = 308,390.40 : x
  2. Step 2: Convert to fraction form
    465,854.40/699,307.20 = 308,390.40/x
  3. Step 3: Cross multiply
    465,854.40x = 699,307.20 × 308,390.40
  4. Step 4: Simplify right side
    465,854.40x = 215,659,627,130.88
  5. Step 5: Solve for x
    x = 215,659,627,130.88/465,854.40
  6. Step 6: Final answer
    x = 462,933.54

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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.