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Finding the Fourth Proportional to 415,647.51, 623,419.43 and 166,331.67

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Solution

The fourth proportional to 415,647.51, 623,419.43 and 166,331.67 is: 249,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,647.51 : 623,419.43 = 166,331.67 : x
  2. Step 2: Convert to fraction form
    415,647.51/623,419.43 = 166,331.67/x
  3. Step 3: Cross multiply
    415,647.51x = 623,419.43 × 166,331.67
  4. Step 4: Simplify right side
    415,647.51x = 103,694,394,070.69
  5. Step 5: Solve for x
    x = 103,694,394,070.69/415,647.51
  6. Step 6: Final answer
    x = 249,476.76

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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.