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Finding the Fourth Proportional to 408,083.60, 612,125.40 and 405,459.20

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Solution

The fourth proportional to 408,083.60, 612,125.40 and 405,459.20 is: 608,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,083.60 : 612,125.40 = 405,459.20 : x
  2. Step 2: Convert to fraction form
    408,083.60/612,125.40 = 405,459.20/x
  3. Step 3: Cross multiply
    408,083.60x = 612,125.40 × 405,459.20
  4. Step 4: Simplify right side
    408,083.60x = 248,191,874,983.68
  5. Step 5: Solve for x
    x = 248,191,874,983.68/408,083.60
  6. Step 6: Final answer
    x = 608,188.80

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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.