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Finding the Fourth Proportional to 520,605.38, 780,971.24 and 146,628.38

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Solution

The fourth proportional to 520,605.38, 780,971.24 and 146,628.38 is: 219,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,605.38 : 780,971.24 = 146,628.38 : x
  2. Step 2: Convert to fraction form
    520,605.38/780,971.24 = 146,628.38/x
  3. Step 3: Cross multiply
    520,605.38x = 780,971.24 × 146,628.38
  4. Step 4: Simplify right side
    520,605.38x = 114,512,543,109.79
  5. Step 5: Solve for x
    x = 114,512,543,109.79/520,605.38
  6. Step 6: Final answer
    x = 219,960.36

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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.