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Finding the Fourth Proportional to 288,662.13, 432,942.17 and 78,316.47

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Solution

The fourth proportional to 288,662.13, 432,942.17 and 78,316.47 is: 117,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,662.13 : 432,942.17 = 78,316.47 : x
  2. Step 2: Convert to fraction form
    288,662.13/432,942.17 = 78,316.47/x
  3. Step 3: Cross multiply
    288,662.13x = 432,942.17 × 78,316.47
  4. Step 4: Simplify right side
    288,662.13x = 33,906,502,076.96
  5. Step 5: Solve for x
    x = 33,906,502,076.96/288,662.13
  6. Step 6: Final answer
    x = 117,460.86

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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.