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Finding the Fourth Proportional to 647,009.20, 970,513.80 and 617,978.80

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Solution

The fourth proportional to 647,009.20, 970,513.80 and 617,978.80 is: 926,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,009.20 : 970,513.80 = 617,978.80 : x
  2. Step 2: Convert to fraction form
    647,009.20/970,513.80 = 617,978.80/x
  3. Step 3: Cross multiply
    647,009.20x = 970,513.80 × 617,978.80
  4. Step 4: Simplify right side
    647,009.20x = 599,756,953,507.44
  5. Step 5: Solve for x
    x = 599,756,953,507.44/647,009.20
  6. Step 6: Final answer
    x = 926,968.20

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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.