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Finding the Fourth Proportional to 272,292.60, 407,564.10 and 193,560.60

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Solution

The fourth proportional to 272,292.60, 407,564.10 and 193,560.60 is: 289,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,292.60 : 407,564.10 = 193,560.60 : x
  2. Step 2: Convert to fraction form
    272,292.60/407,564.10 = 193,560.60/x
  3. Step 3: Cross multiply
    272,292.60x = 407,564.10 × 193,560.60
  4. Step 4: Simplify right side
    272,292.60x = 78,888,351,734.46
  5. Step 5: Solve for x
    x = 78,888,351,734.46/272,292.60
  6. Step 6: Final answer
    x = 289,719.04

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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.