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Finding the Fourth Proportional to 298,810.80, 412,358.90 and 164,674.80

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Solution

The fourth proportional to 298,810.80, 412,358.90 and 164,674.80 is: 227,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,810.80 : 412,358.90 = 164,674.80 : x
  2. Step 2: Convert to fraction form
    298,810.80/412,358.90 = 164,674.80/x
  3. Step 3: Cross multiply
    298,810.80x = 412,358.90 × 164,674.80
  4. Step 4: Simplify right side
    298,810.80x = 67,905,118,562.35
  5. Step 5: Solve for x
    x = 67,905,118,562.35/298,810.80
  6. Step 6: Final answer
    x = 227,251.22

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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.