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Finding the Fourth Proportional to 298,612.80, 412,084.80 and 164,476.80

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Solution

The fourth proportional to 298,612.80, 412,084.80 and 164,476.80 is: 226,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,612.80 : 412,084.80 = 164,476.80 : x
  2. Step 2: Convert to fraction form
    298,612.80/412,084.80 = 164,476.80/x
  3. Step 3: Cross multiply
    298,612.80x = 412,084.80 × 164,476.80
  4. Step 4: Simplify right side
    298,612.80x = 67,778,389,232.64
  5. Step 5: Solve for x
    x = 67,778,389,232.64/298,612.80
  6. Step 6: Final answer
    x = 226,977.51

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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.