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Finding the Fourth Proportional to 520,206.30, 780,147.45 and 204,759.90

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Solution

The fourth proportional to 520,206.30, 780,147.45 and 204,759.90 is: 307,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,206.30 : 780,147.45 = 204,759.90 : x
  2. Step 2: Convert to fraction form
    520,206.30/780,147.45 = 204,759.90/x
  3. Step 3: Cross multiply
    520,206.30x = 780,147.45 × 204,759.90
  4. Step 4: Simplify right side
    520,206.30x = 159,742,913,847.26
  5. Step 5: Solve for x
    x = 159,742,913,847.26/520,206.30
  6. Step 6: Final answer
    x = 307,076.08

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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.