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Finding the Fourth Proportional to 257,171.40, 385,238.70 and 146,233.80

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Solution

The fourth proportional to 257,171.40, 385,238.70 and 146,233.80 is: 219,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,171.40 : 385,238.70 = 146,233.80 : x
  2. Step 2: Convert to fraction form
    257,171.40/385,238.70 = 146,233.80/x
  3. Step 3: Cross multiply
    257,171.40x = 385,238.70 × 146,233.80
  4. Step 4: Simplify right side
    257,171.40x = 56,334,919,008.06
  5. Step 5: Solve for x
    x = 56,334,919,008.06/257,171.40
  6. Step 6: Final answer
    x = 219,055.93

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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.