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Finding the Fourth Proportional to 647,254.40, 970,363.20 and 272,969.60

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Solution

The fourth proportional to 647,254.40, 970,363.20 and 272,969.60 is: 409,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,254.40 : 970,363.20 = 272,969.60 : x
  2. Step 2: Convert to fraction form
    647,254.40/970,363.20 = 272,969.60/x
  3. Step 3: Cross multiply
    647,254.40x = 970,363.20 × 272,969.60
  4. Step 4: Simplify right side
    647,254.40x = 264,879,654,558.72
  5. Step 5: Solve for x
    x = 264,879,654,558.72/647,254.40
  6. Step 6: Final answer
    x = 409,235.77

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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.