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Finding the Fourth Proportional to 307,214.40, 461,512.80 and 213,902.40

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Solution

The fourth proportional to 307,214.40, 461,512.80 and 213,902.40 is: 321,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,214.40 : 461,512.80 = 213,902.40 : x
  2. Step 2: Convert to fraction form
    307,214.40/461,512.80 = 213,902.40/x
  3. Step 3: Cross multiply
    307,214.40x = 461,512.80 × 213,902.40
  4. Step 4: Simplify right side
    307,214.40x = 98,718,695,550.72
  5. Step 5: Solve for x
    x = 98,718,695,550.72/307,214.40
  6. Step 6: Final answer
    x = 321,334.86

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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.