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Finding the Fourth Proportional to 409,257.60, 613,982.76 and 128,774.76

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Solution

The fourth proportional to 409,257.60, 613,982.76 and 128,774.76 is: 193,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,257.60 : 613,982.76 = 128,774.76 : x
  2. Step 2: Convert to fraction form
    409,257.60/613,982.76 = 128,774.76/x
  3. Step 3: Cross multiply
    409,257.60x = 613,982.76 × 128,774.76
  4. Step 4: Simplify right side
    409,257.60x = 79,065,482,563.14
  5. Step 5: Solve for x
    x = 79,065,482,563.14/409,257.60
  6. Step 6: Final answer
    x = 193,192.46

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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.