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Finding the Fourth Proportional to 257,166.40, 385,231.20 and 146,228.80

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Solution

The fourth proportional to 257,166.40, 385,231.20 and 146,228.80 is: 219,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,166.40 : 385,231.20 = 146,228.80 : x
  2. Step 2: Convert to fraction form
    257,166.40/385,231.20 = 146,228.80/x
  3. Step 3: Cross multiply
    257,166.40x = 385,231.20 × 146,228.80
  4. Step 4: Simplify right side
    257,166.40x = 56,331,896,098.56
  5. Step 5: Solve for x
    x = 56,331,896,098.56/257,166.40
  6. Step 6: Final answer
    x = 219,048.43

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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.