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Finding the Fourth Proportional to 288,171.76, 432,321.54 and 110,678.80

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Solution

The fourth proportional to 288,171.76, 432,321.54 and 110,678.80 is: 166,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,171.76 : 432,321.54 = 110,678.80 : x
  2. Step 2: Convert to fraction form
    288,171.76/432,321.54 = 110,678.80/x
  3. Step 3: Cross multiply
    288,171.76x = 432,321.54 × 110,678.80
  4. Step 4: Simplify right side
    288,171.76x = 47,848,829,261.35
  5. Step 5: Solve for x
    x = 47,848,829,261.35/288,171.76
  6. Step 6: Final answer
    x = 166,042.74

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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.