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Finding the Fourth Proportional to 647,930.80, 972,333.60 and 422,742.70

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Solution

The fourth proportional to 647,930.80, 972,333.60 and 422,742.70 is: 634,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,930.80 : 972,333.60 = 422,742.70 : x
  2. Step 2: Convert to fraction form
    647,930.80/972,333.60 = 422,742.70/x
  3. Step 3: Cross multiply
    647,930.80x = 972,333.60 × 422,742.70
  4. Step 4: Simplify right side
    647,930.80x = 411,046,931,364.72
  5. Step 5: Solve for x
    x = 411,046,931,364.72/647,930.80
  6. Step 6: Final answer
    x = 634,399.43

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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.