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Finding the Fourth Proportional to 509,062.20, 763,107.30 and 189,128.40

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Solution

The fourth proportional to 509,062.20, 763,107.30 and 189,128.40 is: 283,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,062.20 : 763,107.30 = 189,128.40 : x
  2. Step 2: Convert to fraction form
    509,062.20/763,107.30 = 189,128.40/x
  3. Step 3: Cross multiply
    509,062.20x = 763,107.30 × 189,128.40
  4. Step 4: Simplify right side
    509,062.20x = 144,325,262,677.32
  5. Step 5: Solve for x
    x = 144,325,262,677.32/509,062.20
  6. Step 6: Final answer
    x = 283,512.04

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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.