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Finding the Fourth Proportional to 380,419.74, 524,978.42 and 219,273.68

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Solution

The fourth proportional to 380,419.74, 524,978.42 and 219,273.68 is: 302,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,419.74 : 524,978.42 = 219,273.68 : x
  2. Step 2: Convert to fraction form
    380,419.74/524,978.42 = 219,273.68/x
  3. Step 3: Cross multiply
    380,419.74x = 524,978.42 × 219,273.68
  4. Step 4: Simplify right side
    380,419.74x = 115,113,950,290.06
  5. Step 5: Solve for x
    x = 115,113,950,290.06/380,419.74
  6. Step 6: Final answer
    x = 302,597.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.