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Finding the Fourth Proportional to 331,106.40, 496,270.80 and 153,237.78

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Solution

The fourth proportional to 331,106.40, 496,270.80 and 153,237.78 is: 229,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,106.40 : 496,270.80 = 153,237.78 : x
  2. Step 2: Convert to fraction form
    331,106.40/496,270.80 = 153,237.78/x
  3. Step 3: Cross multiply
    331,106.40x = 496,270.80 × 153,237.78
  4. Step 4: Simplify right side
    331,106.40x = 76,047,435,670.82
  5. Step 5: Solve for x
    x = 76,047,435,670.82/331,106.40
  6. Step 6: Final answer
    x = 229,676.73

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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.