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Finding the Fourth Proportional to 520,173.30, 780,065.55 and 204,564.90

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Solution

The fourth proportional to 520,173.30, 780,065.55 and 204,564.90 is: 306,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,173.30 : 780,065.55 = 204,564.90 : x
  2. Step 2: Convert to fraction form
    520,173.30/780,065.55 = 204,564.90/x
  3. Step 3: Cross multiply
    520,173.30x = 780,065.55 × 204,564.90
  4. Step 4: Simplify right side
    520,173.30x = 159,574,031,229.20
  5. Step 5: Solve for x
    x = 159,574,031,229.20/520,173.30
  6. Step 6: Final answer
    x = 306,770.90

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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.