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Finding the Fourth Proportional to 288,390, 431,981.76 and 231,924.36

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Solution

The fourth proportional to 288,390, 431,981.76 and 231,924.36 is: 347,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,390 : 431,981.76 = 231,924.36 : x
  2. Step 2: Convert to fraction form
    288,390/431,981.76 = 231,924.36/x
  3. Step 3: Cross multiply
    288,390x = 431,981.76 × 231,924.36
  4. Step 4: Simplify right side
    288,390x = 100,187,093,219.67
  5. Step 5: Solve for x
    x = 100,187,093,219.67/288,390
  6. Step 6: Final answer
    x = 347,401.41

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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.