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Finding the Fourth Proportional to 520,358.30, 780,477.82 and 136,144.26

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Solution

The fourth proportional to 520,358.30, 780,477.82 and 136,144.26 is: 204,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,358.30 : 780,477.82 = 136,144.26 : x
  2. Step 2: Convert to fraction form
    520,358.30/780,477.82 = 136,144.26/x
  3. Step 3: Cross multiply
    520,358.30x = 780,477.82 × 136,144.26
  4. Step 4: Simplify right side
    520,358.30x = 106,257,575,250.31
  5. Step 5: Solve for x
    x = 106,257,575,250.31/520,358.30
  6. Step 6: Final answer
    x = 204,200.79

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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.