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Finding the Fourth Proportional to 407,138.70, 610,708.05 and 197,186.70

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Solution

The fourth proportional to 407,138.70, 610,708.05 and 197,186.70 is: 295,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,138.70 : 610,708.05 = 197,186.70 : x
  2. Step 2: Convert to fraction form
    407,138.70/610,708.05 = 197,186.70/x
  3. Step 3: Cross multiply
    407,138.70x = 610,708.05 × 197,186.70
  4. Step 4: Simplify right side
    407,138.70x = 120,423,505,042.94
  5. Step 5: Solve for x
    x = 120,423,505,042.94/407,138.70
  6. Step 6: Final answer
    x = 295,780.05

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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.