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Finding the Fourth Proportional to 257,168.40, 385,234.20 and 146,230.80

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Solution

The fourth proportional to 257,168.40, 385,234.20 and 146,230.80 is: 219,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,168.40 : 385,234.20 = 146,230.80 : x
  2. Step 2: Convert to fraction form
    257,168.40/385,234.20 = 146,230.80/x
  3. Step 3: Cross multiply
    257,168.40x = 385,234.20 × 146,230.80
  4. Step 4: Simplify right side
    257,168.40x = 56,333,105,253.36
  5. Step 5: Solve for x
    x = 56,333,105,253.36/257,168.40
  6. Step 6: Final answer
    x = 219,051.43

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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.