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Finding the Fourth Proportional to 298,555.77, 412,014.31 and 162,597.09

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Solution

The fourth proportional to 298,555.77, 412,014.31 and 162,597.09 is: 224,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,555.77 : 412,014.31 = 162,597.09 : x
  2. Step 2: Convert to fraction form
    298,555.77/412,014.31 = 162,597.09/x
  3. Step 3: Cross multiply
    298,555.77x = 412,014.31 × 162,597.09
  4. Step 4: Simplify right side
    298,555.77x = 66,992,327,031.37
  5. Step 5: Solve for x
    x = 66,992,327,031.37/298,555.77
  6. Step 6: Final answer
    x = 224,387.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.