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Finding the Fourth Proportional to 412,051.20, 616,867.20 and 307,334.40

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Solution

The fourth proportional to 412,051.20, 616,867.20 and 307,334.40 is: 460,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,051.20 : 616,867.20 = 307,334.40 : x
  2. Step 2: Convert to fraction form
    412,051.20/616,867.20 = 307,334.40/x
  3. Step 3: Cross multiply
    412,051.20x = 616,867.20 × 307,334.40
  4. Step 4: Simplify right side
    412,051.20x = 189,584,510,791.68
  5. Step 5: Solve for x
    x = 189,584,510,791.68/412,051.20
  6. Step 6: Final answer
    x = 460,099.40

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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.