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Finding the Fourth Proportional to 312,930.95, 469,454.85 and 142,164.64

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Solution

The fourth proportional to 312,930.95, 469,454.85 and 142,164.64 is: 213,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,930.95 : 469,454.85 = 142,164.64 : x
  2. Step 2: Convert to fraction form
    312,930.95/469,454.85 = 142,164.64/x
  3. Step 3: Cross multiply
    312,930.95x = 469,454.85 × 142,164.64
  4. Step 4: Simplify right side
    312,930.95x = 66,739,881,253.83
  5. Step 5: Solve for x
    x = 66,739,881,253.83/312,930.95
  6. Step 6: Final answer
    x = 213,273.51

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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.