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Finding the Fourth Proportional to 510,620.40, 766,276.20 and 229,993.20

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Solution

The fourth proportional to 510,620.40, 766,276.20 and 229,993.20 is: 345,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,620.40 : 766,276.20 = 229,993.20 : x
  2. Step 2: Convert to fraction form
    510,620.40/766,276.20 = 229,993.20/x
  3. Step 3: Cross multiply
    510,620.40x = 766,276.20 × 229,993.20
  4. Step 4: Simplify right side
    510,620.40x = 176,238,315,321.84
  5. Step 5: Solve for x
    x = 176,238,315,321.84/510,620.40
  6. Step 6: Final answer
    x = 345,145.46

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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.