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Finding the Fourth Proportional to 307,631.40, 461,706.30 and 139,410.60

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Solution

The fourth proportional to 307,631.40, 461,706.30 and 139,410.60 is: 209,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,631.40 : 461,706.30 = 139,410.60 : x
  2. Step 2: Convert to fraction form
    307,631.40/461,706.30 = 139,410.60/x
  3. Step 3: Cross multiply
    307,631.40x = 461,706.30 × 139,410.60
  4. Step 4: Simplify right side
    307,631.40x = 64,366,752,306.78
  5. Step 5: Solve for x
    x = 64,366,752,306.78/307,631.40
  6. Step 6: Final answer
    x = 209,233.36

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1.5x scale

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.