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Finding the Fourth Proportional to 409,077.22, 613,712.76 and 128,594.74

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Solution

The fourth proportional to 409,077.22, 613,712.76 and 128,594.74 is: 192,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,077.22 : 613,712.76 = 128,594.74 : x
  2. Step 2: Convert to fraction form
    409,077.22/613,712.76 = 128,594.74/x
  3. Step 3: Cross multiply
    409,077.22x = 613,712.76 × 128,594.74
  4. Step 4: Simplify right side
    409,077.22x = 78,920,232,806.88
  5. Step 5: Solve for x
    x = 78,920,232,806.88/409,077.22
  6. Step 6: Final answer
    x = 192,922.58

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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.