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Finding the Fourth Proportional to 298,780.68, 412,306.86 and 167,954.34

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Solution

The fourth proportional to 298,780.68, 412,306.86 and 167,954.34 is: 231,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,780.68 : 412,306.86 = 167,954.34 : x
  2. Step 2: Convert to fraction form
    298,780.68/412,306.86 = 167,954.34/x
  3. Step 3: Cross multiply
    298,780.68x = 412,306.86 × 167,954.34
  4. Step 4: Simplify right side
    298,780.68x = 69,248,726,548.77
  5. Step 5: Solve for x
    x = 69,248,726,548.77/298,780.68
  6. Step 6: Final answer
    x = 231,771.10

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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.