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Finding the Fourth Proportional to 418,399.04, 627,401.44 and 151,971.68

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Solution

The fourth proportional to 418,399.04, 627,401.44 and 151,971.68 is: 227,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,399.04 : 627,401.44 = 151,971.68 : x
  2. Step 2: Convert to fraction form
    418,399.04/627,401.44 = 151,971.68/x
  3. Step 3: Cross multiply
    418,399.04x = 627,401.44 × 151,971.68
  4. Step 4: Simplify right side
    418,399.04x = 95,347,250,871.22
  5. Step 5: Solve for x
    x = 95,347,250,871.22/418,399.04
  6. Step 6: Final answer
    x = 227,885.92

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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.