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Finding the Fourth Proportional to 512,205.60, 768,308.40 and 245,901.90

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Solution

The fourth proportional to 512,205.60, 768,308.40 and 245,901.90 is: 368,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,205.60 : 768,308.40 = 245,901.90 : x
  2. Step 2: Convert to fraction form
    512,205.60/768,308.40 = 245,901.90/x
  3. Step 3: Cross multiply
    512,205.60x = 768,308.40 × 245,901.90
  4. Step 4: Simplify right side
    512,205.60x = 188,928,495,345.96
  5. Step 5: Solve for x
    x = 188,928,495,345.96/512,205.60
  6. Step 6: Final answer
    x = 368,852.85

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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.