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Finding the Fourth Proportional to 288,155.94, 432,289.92 and 110,649.90

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Solution

The fourth proportional to 288,155.94, 432,289.92 and 110,649.90 is: 165,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,155.94 : 432,289.92 = 110,649.90 : x
  2. Step 2: Convert to fraction form
    288,155.94/432,289.92 = 110,649.90/x
  3. Step 3: Cross multiply
    288,155.94x = 432,289.92 × 110,649.90
  4. Step 4: Simplify right side
    288,155.94x = 47,832,836,419.01
  5. Step 5: Solve for x
    x = 47,832,836,419.01/288,155.94
  6. Step 6: Final answer
    x = 165,996.36

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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.