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Finding the Fourth Proportional to 254,269.44, 381,461.76 and 135,878.40

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Solution

The fourth proportional to 254,269.44, 381,461.76 and 135,878.40 is: 203,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,269.44 : 381,461.76 = 135,878.40 : x
  2. Step 2: Convert to fraction form
    254,269.44/381,461.76 = 135,878.40/x
  3. Step 3: Cross multiply
    254,269.44x = 381,461.76 × 135,878.40
  4. Step 4: Simplify right side
    254,269.44x = 51,832,413,609.98
  5. Step 5: Solve for x
    x = 51,832,413,609.98/254,269.44
  6. Step 6: Final answer
    x = 203,848.38

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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.