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Finding the Fourth Proportional to 312,064.90, 468,097.35 and 193,351.30

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Solution

The fourth proportional to 312,064.90, 468,097.35 and 193,351.30 is: 290,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,064.90 : 468,097.35 = 193,351.30 : x
  2. Step 2: Convert to fraction form
    312,064.90/468,097.35 = 193,351.30/x
  3. Step 3: Cross multiply
    312,064.90x = 468,097.35 × 193,351.30
  4. Step 4: Simplify right side
    312,064.90x = 90,507,231,149.06
  5. Step 5: Solve for x
    x = 90,507,231,149.06/312,064.90
  6. Step 6: Final answer
    x = 290,026.95

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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.