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Finding the Fourth Proportional to 647,769.20, 970,341.60 and 366,958.40

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Solution

The fourth proportional to 647,769.20, 970,341.60 and 366,958.40 is: 549,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,769.20 : 970,341.60 = 366,958.40 : x
  2. Step 2: Convert to fraction form
    647,769.20/970,341.60 = 366,958.40/x
  3. Step 3: Cross multiply
    647,769.20x = 970,341.60 × 366,958.40
  4. Step 4: Simplify right side
    647,769.20x = 356,075,000,989.44
  5. Step 5: Solve for x
    x = 356,075,000,989.44/647,769.20
  6. Step 6: Final answer
    x = 549,694.24

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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.