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Finding the Fourth Proportional to 328,900.76, 493,310.13 and 92,261.89

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Solution

The fourth proportional to 328,900.76, 493,310.13 and 92,261.89 is: 138,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,900.76 : 493,310.13 = 92,261.89 : x
  2. Step 2: Convert to fraction form
    328,900.76/493,310.13 = 92,261.89/x
  3. Step 3: Cross multiply
    328,900.76x = 493,310.13 × 92,261.89
  4. Step 4: Simplify right side
    328,900.76x = 45,513,724,949.95
  5. Step 5: Solve for x
    x = 45,513,724,949.95/328,900.76
  6. Step 6: Final answer
    x = 138,381.33

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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.