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Finding the Fourth Proportional to 408,454.36, 612,878.10 and 307,906.90

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Solution

The fourth proportional to 408,454.36, 612,878.10 and 307,906.90 is: 462,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,454.36 : 612,878.10 = 307,906.90 : x
  2. Step 2: Convert to fraction form
    408,454.36/612,878.10 = 307,906.90/x
  3. Step 3: Cross multiply
    408,454.36x = 612,878.10 × 307,906.90
  4. Step 4: Simplify right side
    408,454.36x = 188,709,395,848.89
  5. Step 5: Solve for x
    x = 188,709,395,848.89/408,454.36
  6. Step 6: Final answer
    x = 462,008.52

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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.