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Finding the Fourth Proportional to 228,451.34, 342,713.73 and 78,654.80

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Solution

The fourth proportional to 228,451.34, 342,713.73 and 78,654.80 is: 117,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,451.34 : 342,713.73 = 78,654.80 : x
  2. Step 2: Convert to fraction form
    228,451.34/342,713.73 = 78,654.80/x
  3. Step 3: Cross multiply
    228,451.34x = 342,713.73 × 78,654.80
  4. Step 4: Simplify right side
    228,451.34x = 26,956,079,890.40
  5. Step 5: Solve for x
    x = 26,956,079,890.40/228,451.34
  6. Step 6: Final answer
    x = 117,994.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.