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Finding the Fourth Proportional to 642,097.33, 963,155.41 and 305,172.36

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Solution

The fourth proportional to 642,097.33, 963,155.41 and 305,172.36 is: 457,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,097.33 : 963,155.41 = 305,172.36 : x
  2. Step 2: Convert to fraction form
    642,097.33/963,155.41 = 305,172.36/x
  3. Step 3: Cross multiply
    642,097.33x = 963,155.41 × 305,172.36
  4. Step 4: Simplify right side
    642,097.33x = 293,928,408,753.54
  5. Step 5: Solve for x
    x = 293,928,408,753.54/642,097.33
  6. Step 6: Final answer
    x = 457,763.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.