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Finding the Fourth Proportional to 288,761.38, 432,851.34 and 120,374.98

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Solution

The fourth proportional to 288,761.38, 432,851.34 and 120,374.98 is: 180,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,761.38 : 432,851.34 = 120,374.98 : x
  2. Step 2: Convert to fraction form
    288,761.38/432,851.34 = 120,374.98/x
  3. Step 3: Cross multiply
    288,761.38x = 432,851.34 × 120,374.98
  4. Step 4: Simplify right side
    288,761.38x = 52,104,471,395.47
  5. Step 5: Solve for x
    x = 52,104,471,395.47/288,761.38
  6. Step 6: Final answer
    x = 180,441.27

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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.