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Finding the Fourth Proportional to 520,162.43, 780,243.65 and 146,185.43

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Solution

The fourth proportional to 520,162.43, 780,243.65 and 146,185.43 is: 219,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,162.43 : 780,243.65 = 146,185.43 : x
  2. Step 2: Convert to fraction form
    520,162.43/780,243.65 = 146,185.43/x
  3. Step 3: Cross multiply
    520,162.43x = 780,243.65 × 146,185.43
  4. Step 4: Simplify right side
    520,162.43x = 114,060,252,749.09
  5. Step 5: Solve for x
    x = 114,060,252,749.09/520,162.43
  6. Step 6: Final answer
    x = 219,278.15

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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.