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Finding the Fourth Proportional to 513,343.80, 769,956.86 and 134,301.11

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Solution

The fourth proportional to 513,343.80, 769,956.86 and 134,301.11 is: 201,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,343.80 : 769,956.86 = 134,301.11 : x
  2. Step 2: Convert to fraction form
    513,343.80/769,956.86 = 134,301.11/x
  3. Step 3: Cross multiply
    513,343.80x = 769,956.86 × 134,301.11
  4. Step 4: Simplify right side
    513,343.80x = 103,406,060,950.12
  5. Step 5: Solve for x
    x = 103,406,060,950.12/513,343.80
  6. Step 6: Final answer
    x = 201,436.27

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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.