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Finding the Fourth Proportional to 406,970.70, 610,456.05 and 185,786.70

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Solution

The fourth proportional to 406,970.70, 610,456.05 and 185,786.70 is: 278,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970.70 : 610,456.05 = 185,786.70 : x
  2. Step 2: Convert to fraction form
    406,970.70/610,456.05 = 185,786.70/x
  3. Step 3: Cross multiply
    406,970.70x = 610,456.05 × 185,786.70
  4. Step 4: Simplify right side
    406,970.70x = 113,414,615,024.54
  5. Step 5: Solve for x
    x = 113,414,615,024.54/406,970.70
  6. Step 6: Final answer
    x = 278,680.05

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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.