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Finding the Fourth Proportional to 298,902.84, 412,465.29 and 168,100.05

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Solution

The fourth proportional to 298,902.84, 412,465.29 and 168,100.05 is: 231,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,902.84 : 412,465.29 = 168,100.05 : x
  2. Step 2: Convert to fraction form
    298,902.84/412,465.29 = 168,100.05/x
  3. Step 3: Cross multiply
    298,902.84x = 412,465.29 × 168,100.05
  4. Step 4: Simplify right side
    298,902.84x = 69,335,435,872.26
  5. Step 5: Solve for x
    x = 69,335,435,872.26/298,902.84
  6. Step 6: Final answer
    x = 231,966.47

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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.