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Finding the Fourth Proportional to 419,929.60, 628,358.40 and 309,337.60

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Solution

The fourth proportional to 419,929.60, 628,358.40 and 309,337.60 is: 462,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,929.60 : 628,358.40 = 309,337.60 : x
  2. Step 2: Convert to fraction form
    419,929.60/628,358.40 = 309,337.60/x
  3. Step 3: Cross multiply
    419,929.60x = 628,358.40 × 309,337.60
  4. Step 4: Simplify right side
    419,929.60x = 194,374,879,395.84
  5. Step 5: Solve for x
    x = 194,374,879,395.84/419,929.60
  6. Step 6: Final answer
    x = 462,874.92

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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.