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Finding the Fourth Proportional to 501,396.64, 691,923.76 and 271,953.20

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Solution

The fourth proportional to 501,396.64, 691,923.76 and 271,953.20 is: 375,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,396.64 : 691,923.76 = 271,953.20 : x
  2. Step 2: Convert to fraction form
    501,396.64/691,923.76 = 271,953.20/x
  3. Step 3: Cross multiply
    501,396.64x = 691,923.76 × 271,953.20
  4. Step 4: Simplify right side
    501,396.64x = 188,170,880,688.03
  5. Step 5: Solve for x
    x = 188,170,880,688.03/501,396.64
  6. Step 6: Final answer
    x = 375,293.46

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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.