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Finding the Fourth Proportional to 380,153.76, 524,743.31 and 219,073.01

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Solution

The fourth proportional to 380,153.76, 524,743.31 and 219,073.01 is: 302,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,153.76 : 524,743.31 = 219,073.01 : x
  2. Step 2: Convert to fraction form
    380,153.76/524,743.31 = 219,073.01/x
  3. Step 3: Cross multiply
    380,153.76x = 524,743.31 × 219,073.01
  4. Step 4: Simplify right side
    380,153.76x = 114,957,094,323.03
  5. Step 5: Solve for x
    x = 114,957,094,323.03/380,153.76
  6. Step 6: Final answer
    x = 302,396.31

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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.