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Finding the Fourth Proportional to 312,729.05, 469,612.51 and 195,147.72

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Solution

The fourth proportional to 312,729.05, 469,612.51 and 195,147.72 is: 293,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,729.05 : 469,612.51 = 195,147.72 : x
  2. Step 2: Convert to fraction form
    312,729.05/469,612.51 = 195,147.72/x
  3. Step 3: Cross multiply
    312,729.05x = 469,612.51 × 195,147.72
  4. Step 4: Simplify right side
    312,729.05x = 91,643,810,122.11
  5. Step 5: Solve for x
    x = 91,643,810,122.11/312,729.05
  6. Step 6: Final answer
    x = 293,045.40

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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.