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Finding the Fourth Proportional to 257,098.80, 385,648.20 and 230,919.60

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Solution

The fourth proportional to 257,098.80, 385,648.20 and 230,919.60 is: 346,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098.80 : 385,648.20 = 230,919.60 : x
  2. Step 2: Convert to fraction form
    257,098.80/385,648.20 = 230,919.60/x
  3. Step 3: Cross multiply
    257,098.80x = 385,648.20 × 230,919.60
  4. Step 4: Simplify right side
    257,098.80x = 89,053,728,084.72
  5. Step 5: Solve for x
    x = 89,053,728,084.72/257,098.80
  6. Step 6: Final answer
    x = 346,379.40

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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.