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Finding the Fourth Proportional to 647,256.80, 970,539.60 and 272,856.80

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Solution

The fourth proportional to 647,256.80, 970,539.60 and 272,856.80 is: 409,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,256.80 : 970,539.60 = 272,856.80 : x
  2. Step 2: Convert to fraction form
    647,256.80/970,539.60 = 272,856.80/x
  3. Step 3: Cross multiply
    647,256.80x = 970,539.60 × 272,856.80
  4. Step 4: Simplify right side
    647,256.80x = 264,818,329,529.28
  5. Step 5: Solve for x
    x = 264,818,329,529.28/647,256.80
  6. Step 6: Final answer
    x = 409,139.51

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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.