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Finding the Fourth Proportional to 646,166.40, 966,945.60 and 409,622.40

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Solution

The fourth proportional to 646,166.40, 966,945.60 and 409,622.40 is: 612,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,166.40 : 966,945.60 = 409,622.40 : x
  2. Step 2: Convert to fraction form
    646,166.40/966,945.60 = 409,622.40/x
  3. Step 3: Cross multiply
    646,166.40x = 966,945.60 × 409,622.40
  4. Step 4: Simplify right side
    646,166.40x = 396,082,577,341.44
  5. Step 5: Solve for x
    x = 396,082,577,341.44/646,166.40
  6. Step 6: Final answer
    x = 612,973.03

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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.