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Finding the Fourth Proportional to 380,758.59, 525,278.12 and 219,575.07

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Solution

The fourth proportional to 380,758.59, 525,278.12 and 219,575.07 is: 302,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,758.59 : 525,278.12 = 219,575.07 : x
  2. Step 2: Convert to fraction form
    380,758.59/525,278.12 = 219,575.07/x
  3. Step 3: Cross multiply
    380,758.59x = 525,278.12 × 219,575.07
  4. Step 4: Simplify right side
    380,758.59x = 115,337,978,870.59
  5. Step 5: Solve for x
    x = 115,337,978,870.59/380,758.59
  6. Step 6: Final answer
    x = 302,916.29

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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.