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Finding the Fourth Proportional to 380,203.77, 524,798.10 and 219,166.44

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Solution

The fourth proportional to 380,203.77, 524,798.10 and 219,166.44 is: 302,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,203.77 : 524,798.10 = 219,166.44 : x
  2. Step 2: Convert to fraction form
    380,203.77/524,798.10 = 219,166.44/x
  3. Step 3: Cross multiply
    380,203.77x = 524,798.10 × 219,166.44
  4. Step 4: Simplify right side
    380,203.77x = 115,018,131,295.76
  5. Step 5: Solve for x
    x = 115,018,131,295.76/380,203.77
  6. Step 6: Final answer
    x = 302,517.07

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1.5x scale

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.