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Finding the Fourth Proportional to 489,274.98, 675,233.16 and 274,428.86

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Solution

The fourth proportional to 489,274.98, 675,233.16 and 274,428.86 is: 378,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,274.98 : 675,233.16 = 274,428.86 : x
  2. Step 2: Convert to fraction form
    489,274.98/675,233.16 = 274,428.86/x
  3. Step 3: Cross multiply
    489,274.98x = 675,233.16 × 274,428.86
  4. Step 4: Simplify right side
    489,274.98x = 185,303,462,956.83
  5. Step 5: Solve for x
    x = 185,303,462,956.83/489,274.98
  6. Step 6: Final answer
    x = 378,730.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.