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Finding the Fourth Proportional to 514,395.95, 709,858.64 and 288,049.55

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Solution

The fourth proportional to 514,395.95, 709,858.64 and 288,049.55 is: 397,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,395.95 : 709,858.64 = 288,049.55 : x
  2. Step 2: Convert to fraction form
    514,395.95/709,858.64 = 288,049.55/x
  3. Step 3: Cross multiply
    514,395.95x = 709,858.64 × 288,049.55
  4. Step 4: Simplify right side
    514,395.95x = 204,474,460,375.36
  5. Step 5: Solve for x
    x = 204,474,460,375.36/514,395.95
  6. Step 6: Final answer
    x = 397,504.02

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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.