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Finding the Fourth Proportional to 253,409.50, 379,810.90 and 118,291.78

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Solution

The fourth proportional to 253,409.50, 379,810.90 and 118,291.78 is: 177,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,409.50 : 379,810.90 = 118,291.78 : x
  2. Step 2: Convert to fraction form
    253,409.50/379,810.90 = 118,291.78/x
  3. Step 3: Cross multiply
    253,409.50x = 379,810.90 × 118,291.78
  4. Step 4: Simplify right side
    253,409.50x = 44,928,507,424.40
  5. Step 5: Solve for x
    x = 44,928,507,424.40/253,409.50
  6. Step 6: Final answer
    x = 177,296.07

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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.