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Finding the Fourth Proportional to 513,800.88, 709,283.28 and 298,862.64

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Solution

The fourth proportional to 513,800.88, 709,283.28 and 298,862.64 is: 412,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,800.88 : 709,283.28 = 298,862.64 : x
  2. Step 2: Convert to fraction form
    513,800.88/709,283.28 = 298,862.64/x
  3. Step 3: Cross multiply
    513,800.88x = 709,283.28 × 298,862.64
  4. Step 4: Simplify right side
    513,800.88x = 211,978,273,568.66
  5. Step 5: Solve for x
    x = 211,978,273,568.66/513,800.88
  6. Step 6: Final answer
    x = 412,568.92

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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.