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Finding the Fourth Proportional to 520,606.75, 780,973.31 and 146,629.75

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Solution

The fourth proportional to 520,606.75, 780,973.31 and 146,629.75 is: 219,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,606.75 : 780,973.31 = 146,629.75 : x
  2. Step 2: Convert to fraction form
    520,606.75/780,973.31 = 146,629.75/x
  3. Step 3: Cross multiply
    520,606.75x = 780,973.31 × 146,629.75
  4. Step 4: Simplify right side
    520,606.75x = 114,513,916,563.96
  5. Step 5: Solve for x
    x = 114,513,916,563.96/520,606.75
  6. Step 6: Final answer
    x = 219,962.41

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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.