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Finding the Fourth Proportional to 503,133.69, 694,343.04 and 288,315.28

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Solution

The fourth proportional to 503,133.69, 694,343.04 and 288,315.28 is: 397,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,133.69 : 694,343.04 = 288,315.28 : x
  2. Step 2: Convert to fraction form
    503,133.69/694,343.04 = 288,315.28/x
  3. Step 3: Cross multiply
    503,133.69x = 694,343.04 × 288,315.28
  4. Step 4: Simplify right side
    503,133.69x = 200,189,707,780.40
  5. Step 5: Solve for x
    x = 200,189,707,780.40/503,133.69
  6. Step 6: Final answer
    x = 397,885.71

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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.