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Finding the Fourth Proportional to 288,471.51, 432,674.37 and 78,125.85

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Solution

The fourth proportional to 288,471.51, 432,674.37 and 78,125.85 is: 117,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,471.51 : 432,674.37 = 78,125.85 : x
  2. Step 2: Convert to fraction form
    288,471.51/432,674.37 = 78,125.85/x
  3. Step 3: Cross multiply
    288,471.51x = 432,674.37 × 78,125.85
  4. Step 4: Simplify right side
    288,471.51x = 33,803,052,929.46
  5. Step 5: Solve for x
    x = 33,803,052,929.46/288,471.51
  6. Step 6: Final answer
    x = 117,179.87

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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.