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Finding the Fourth Proportional to 654,106.28, 902,645.61 and 363,716.42

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Solution

The fourth proportional to 654,106.28, 902,645.61 and 363,716.42 is: 501,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,106.28 : 902,645.61 = 363,716.42 : x
  2. Step 2: Convert to fraction form
    654,106.28/902,645.61 = 363,716.42/x
  3. Step 3: Cross multiply
    654,106.28x = 902,645.61 × 363,716.42
  4. Step 4: Simplify right side
    654,106.28x = 328,307,025,284.69
  5. Step 5: Solve for x
    x = 328,307,025,284.69/654,106.28
  6. Step 6: Final answer
    x = 501,916.95

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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.