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Finding the Fourth Proportional to 509,620.80, 763,912.80 and 299,150.40

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Solution

The fourth proportional to 509,620.80, 763,912.80 and 299,150.40 is: 448,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,620.80 : 763,912.80 = 299,150.40 : x
  2. Step 2: Convert to fraction form
    509,620.80/763,912.80 = 299,150.40/x
  3. Step 3: Cross multiply
    509,620.80x = 763,912.80 × 299,150.40
  4. Step 4: Simplify right side
    509,620.80x = 228,524,819,685.12
  5. Step 5: Solve for x
    x = 228,524,819,685.12/509,620.80
  6. Step 6: Final answer
    x = 448,421.30

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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.