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Finding the Fourth Proportional to 647,083.32, 970,285.02 and 287,098.22

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Solution

The fourth proportional to 647,083.32, 970,285.02 and 287,098.22 is: 430,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,083.32 : 970,285.02 = 287,098.22 : x
  2. Step 2: Convert to fraction form
    647,083.32/970,285.02 = 287,098.22/x
  3. Step 3: Cross multiply
    647,083.32x = 970,285.02 × 287,098.22
  4. Step 4: Simplify right side
    647,083.32x = 278,567,097,283.24
  5. Step 5: Solve for x
    x = 278,567,097,283.24/647,083.32
  6. Step 6: Final answer
    x = 430,496.49

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1.5x scale

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.