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Finding the Fourth Proportional to 475,272.56, 712,908.84 and 159,729.47

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Solution

The fourth proportional to 475,272.56, 712,908.84 and 159,729.47 is: 239,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,272.56 : 712,908.84 = 159,729.47 : x
  2. Step 2: Convert to fraction form
    475,272.56/712,908.84 = 159,729.47/x
  3. Step 3: Cross multiply
    475,272.56x = 712,908.84 × 159,729.47
  4. Step 4: Simplify right side
    475,272.56x = 113,872,550,879.36
  5. Step 5: Solve for x
    x = 113,872,550,879.36/475,272.56
  6. Step 6: Final answer
    x = 239,594.20

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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.