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Finding the Fourth Proportional to 254,804.40, 381,947.40 and 149,569.20

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Solution

The fourth proportional to 254,804.40, 381,947.40 and 149,569.20 is: 224,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,804.40 : 381,947.40 = 149,569.20 : x
  2. Step 2: Convert to fraction form
    254,804.40/381,947.40 = 149,569.20/x
  3. Step 3: Cross multiply
    254,804.40x = 381,947.40 × 149,569.20
  4. Step 4: Simplify right side
    254,804.40x = 57,127,567,060.08
  5. Step 5: Solve for x
    x = 57,127,567,060.08/254,804.40
  6. Step 6: Final answer
    x = 224,201.65

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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.