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Finding the Fourth Proportional to 380,764.84, 525,442.26 and 211,014.76

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Solution

The fourth proportional to 380,764.84, 525,442.26 and 211,014.76 is: 291,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,764.84 : 525,442.26 = 211,014.76 : x
  2. Step 2: Convert to fraction form
    380,764.84/525,442.26 = 211,014.76/x
  3. Step 3: Cross multiply
    380,764.84x = 525,442.26 × 211,014.76
  4. Step 4: Simplify right side
    380,764.84x = 110,876,072,387.76
  5. Step 5: Solve for x
    x = 110,876,072,387.76/380,764.84
  6. Step 6: Final answer
    x = 291,193.04

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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.