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Finding the Fourth Proportional to 380,684.40, 571,850.52 and 247,496.08

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Solution

The fourth proportional to 380,684.40, 571,850.52 and 247,496.08 is: 371,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,684.40 : 571,850.52 = 247,496.08 : x
  2. Step 2: Convert to fraction form
    380,684.40/571,850.52 = 247,496.08/x
  3. Step 3: Cross multiply
    380,684.40x = 571,850.52 × 247,496.08
  4. Step 4: Simplify right side
    380,684.40x = 141,530,762,045.96
  5. Step 5: Solve for x
    x = 141,530,762,045.96/380,684.40
  6. Step 6: Final answer
    x = 371,779.78

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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.