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Finding the Fourth Proportional to 519,883.13, 717,438.78 and 281,419.13

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Solution

The fourth proportional to 519,883.13, 717,438.78 and 281,419.13 is: 388,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,883.13 : 717,438.78 = 281,419.13 : x
  2. Step 2: Convert to fraction form
    519,883.13/717,438.78 = 281,419.13/x
  3. Step 3: Cross multiply
    519,883.13x = 717,438.78 × 281,419.13
  4. Step 4: Simplify right side
    519,883.13x = 201,900,993,708.67
  5. Step 5: Solve for x
    x = 201,900,993,708.67/519,883.13
  6. Step 6: Final answer
    x = 388,358.43

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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.