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Finding the Fourth Proportional to 407,738.60, 611,389.20 and 170,813.60

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Solution

The fourth proportional to 407,738.60, 611,389.20 and 170,813.60 is: 256,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,738.60 : 611,389.20 = 170,813.60 : x
  2. Step 2: Convert to fraction form
    407,738.60/611,389.20 = 170,813.60/x
  3. Step 3: Cross multiply
    407,738.60x = 611,389.20 × 170,813.60
  4. Step 4: Simplify right side
    407,738.60x = 104,433,590,253.12
  5. Step 5: Solve for x
    x = 104,433,590,253.12/407,738.60
  6. Step 6: Final answer
    x = 256,128.78

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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.