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Finding the Fourth Proportional to 514,459.53, 709,954.22 and 288,105.03

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Solution

The fourth proportional to 514,459.53, 709,954.22 and 288,105.03 is: 397,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,459.53 : 709,954.22 = 288,105.03 : x
  2. Step 2: Convert to fraction form
    514,459.53/709,954.22 = 288,105.03/x
  3. Step 3: Cross multiply
    514,459.53x = 709,954.22 × 288,105.03
  4. Step 4: Simplify right side
    514,459.53x = 204,541,380,411.20
  5. Step 5: Solve for x
    x = 204,541,380,411.20/514,459.53
  6. Step 6: Final answer
    x = 397,584.98

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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.