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Finding the Fourth Proportional to 647,204.10, 970,077.15 and 310,406.10

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Solution

The fourth proportional to 647,204.10, 970,077.15 and 310,406.10 is: 465,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,204.10 : 970,077.15 = 310,406.10 : x
  2. Step 2: Convert to fraction form
    647,204.10/970,077.15 = 310,406.10/x
  3. Step 3: Cross multiply
    647,204.10x = 970,077.15 × 310,406.10
  4. Step 4: Simplify right side
    647,204.10x = 301,117,864,830.62
  5. Step 5: Solve for x
    x = 301,117,864,830.62/647,204.10
  6. Step 6: Final answer
    x = 465,259.51

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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.