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Finding the Fourth Proportional to 503,507.79, 694,820.25 and 288,498.33

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Solution

The fourth proportional to 503,507.79, 694,820.25 and 288,498.33 is: 398,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,507.79 : 694,820.25 = 288,498.33 : x
  2. Step 2: Convert to fraction form
    503,507.79/694,820.25 = 288,498.33/x
  3. Step 3: Cross multiply
    503,507.79x = 694,820.25 × 288,498.33
  4. Step 4: Simplify right side
    503,507.79x = 200,454,481,775.18
  5. Step 5: Solve for x
    x = 200,454,481,775.18/503,507.79
  6. Step 6: Final answer
    x = 398,115.95

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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.