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Finding the Fourth Proportional to 520,027.16, 780,069.90 and 146,021

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Solution

The fourth proportional to 520,027.16, 780,069.90 and 146,021 is: 219,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,027.16 : 780,069.90 = 146,021 : x
  2. Step 2: Convert to fraction form
    520,027.16/780,069.90 = 146,021/x
  3. Step 3: Cross multiply
    520,027.16x = 780,069.90 × 146,021
  4. Step 4: Simplify right side
    520,027.16x = 113,906,586,867.90
  5. Step 5: Solve for x
    x = 113,906,586,867.90/520,027.16
  6. Step 6: Final answer
    x = 219,039.69

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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.