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Finding the Fourth Proportional to 281,043.12, 387,761.40 and 167,824.56

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Solution

The fourth proportional to 281,043.12, 387,761.40 and 167,824.56 is: 231,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,043.12 : 387,761.40 = 167,824.56 : x
  2. Step 2: Convert to fraction form
    281,043.12/387,761.40 = 167,824.56/x
  3. Step 3: Cross multiply
    281,043.12x = 387,761.40 × 167,824.56
  4. Step 4: Simplify right side
    281,043.12x = 65,075,886,339.98
  5. Step 5: Solve for x
    x = 65,075,886,339.98/281,043.12
  6. Step 6: Final answer
    x = 231,551.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.