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Finding the Fourth Proportional to 253,431.98, 379,505.07 and 152,167.50

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Solution

The fourth proportional to 253,431.98, 379,505.07 and 152,167.50 is: 227,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,431.98 : 379,505.07 = 152,167.50 : x
  2. Step 2: Convert to fraction form
    253,431.98/379,505.07 = 152,167.50/x
  3. Step 3: Cross multiply
    253,431.98x = 379,505.07 × 152,167.50
  4. Step 4: Simplify right side
    253,431.98x = 57,748,337,739.23
  5. Step 5: Solve for x
    x = 57,748,337,739.23/253,431.98
  6. Step 6: Final answer
    x = 227,865.24

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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.