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Finding the Fourth Proportional to 646,871.20, 970,177.20 and 309,911.20

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Solution

The fourth proportional to 646,871.20, 970,177.20 and 309,911.20 is: 464,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,871.20 : 970,177.20 = 309,911.20 : x
  2. Step 2: Convert to fraction form
    646,871.20/970,177.20 = 309,911.20/x
  3. Step 3: Cross multiply
    646,871.20x = 970,177.20 × 309,911.20
  4. Step 4: Simplify right side
    646,871.20x = 300,668,780,264.64
  5. Step 5: Solve for x
    x = 300,668,780,264.64/646,871.20
  6. Step 6: Final answer
    x = 464,804.71

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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.