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Finding the Fourth Proportional to 419,419.84, 628,568.64 and 152,929.60

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Solution

The fourth proportional to 419,419.84, 628,568.64 and 152,929.60 is: 229,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,419.84 : 628,568.64 = 152,929.60 : x
  2. Step 2: Convert to fraction form
    419,419.84/628,568.64 = 152,929.60/x
  3. Step 3: Cross multiply
    419,419.84x = 628,568.64 × 152,929.60
  4. Step 4: Simplify right side
    419,419.84x = 96,126,750,687.74
  5. Step 5: Solve for x
    x = 96,126,750,687.74/419,419.84
  6. Step 6: Final answer
    x = 229,189.80

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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.