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Finding the Fourth Proportional to 321,884.60, 482,913.30 and 287,065.40

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Solution

The fourth proportional to 321,884.60, 482,913.30 and 287,065.40 is: 430,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,884.60 : 482,913.30 = 287,065.40 : x
  2. Step 2: Convert to fraction form
    321,884.60/482,913.30 = 287,065.40/x
  3. Step 3: Cross multiply
    321,884.60x = 482,913.30 × 287,065.40
  4. Step 4: Simplify right side
    321,884.60x = 138,627,699,629.82
  5. Step 5: Solve for x
    x = 138,627,699,629.82/321,884.60
  6. Step 6: Final answer
    x = 430,675.15

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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.