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Finding the Fourth Proportional to 379,784.80, 524,102.10 and 218,581

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Solution

The fourth proportional to 379,784.80, 524,102.10 and 218,581 is: 301,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,784.80 : 524,102.10 = 218,581 : x
  2. Step 2: Convert to fraction form
    379,784.80/524,102.10 = 218,581/x
  3. Step 3: Cross multiply
    379,784.80x = 524,102.10 × 218,581
  4. Step 4: Simplify right side
    379,784.80x = 114,558,761,120.10
  5. Step 5: Solve for x
    x = 114,558,761,120.10/379,784.80
  6. Step 6: Final answer
    x = 301,641.25

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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.